Канал: MasterWuMathematics

Superannuation Formula: Amount accumulated in a Pension Fund with Interest

Superannuation Formula: Amount accumulated in a Pension Fund with Interest

Derivative of cos^2(x) - d/dx [cos^2(x)] - Chain Rule and Half Angle Formula

Derivative of cos^2(x) - d/dx [cos^2(x)] - Chain Rule and Half Angle Formula

Integral Test for Convergence/Divergence of Infinite Series (How it Works)

Integral Test for Convergence/Divergence of Infinite Series (How it Works)

Simple vs Compound Interest (Compound not much better?)

Simple vs Compound Interest (Compound not much better?)

Limit of xe^x as x approaches -∞ (negative infinity) - L'Hospital's Rule

Limit of xe^x as x approaches -∞ (negative infinity) - L'Hospital's Rule

Compound Interest: How much can you earn in 3 years at 9 per cent?

Compound Interest: How much can you earn in 3 years at 9 per cent?

Harmonic Series: why it is Divergent

Harmonic Series: why it is Divergent

Convergence and Divergence of Infinite Series with Example Problems

Convergence and Divergence of Infinite Series with Example Problems

How to integrate ∫csc^3(x)dx - (Integration By Parts)

How to integrate ∫csc^3(x)dx - (Integration By Parts)

Limit of (2 + h)^3 - 8 / h as h approaches 0

Limit of (2 + h)^3 - 8 / h as h approaches 0

What is the derivative of tan^2(x)? - d/dx[tan^2(x)]

What is the derivative of tan^2(x)? - d/dx[tan^2(x)]

Trig and Complex Numbers - Power Reduction Identities

Trig and Complex Numbers - Power Reduction Identities

Inverse hyperbolic cosine [cosh^-1(x)] as a logarithm

Inverse hyperbolic cosine [cosh^-1(x)] as a logarithm

How to evaluate the limit sqrt(1 + h) - 1 / h as x approaches 0

How to evaluate the limit sqrt(1 + h) - 1 / h as x approaches 0

Integral of ∫ sin(4x) / cos^4(x) dx

Integral of ∫ sin(4x) / cos^4(x) dx

Trig and Complex Numbers - Multiple Angle Identities

Trig and Complex Numbers - Multiple Angle Identities

Derivative of csc(x) - Reciprocal Rule

Derivative of csc(x) - Reciprocal Rule

Evaluating the Integral ∫ sqrt(x) / x^2 + x dx on the interval [1/3, 3]

Evaluating the Integral ∫ sqrt(x) / x^2 + x dx on the interval [1/3, 3]

Proof: Reciprocal Rule of Differentiation by First Principles

Proof: Reciprocal Rule of Differentiation by First Principles

Limit of (x^2 + x - 6) / (x - 2) as x approaches 2

Limit of (x^2 + x - 6) / (x - 2) as x approaches 2

How to Integrate ∫ log_a(x) dx

How to Integrate ∫ log_a(x) dx

Derivative of arcsin(x) - d/dx [ sin^-1(x) ] - Inverse Sine function

Derivative of arcsin(x) - d/dx [ sin^-1(x) ] - Inverse Sine function

How to Integrate ∫xsin^3(x)cos^4(x)dx

How to Integrate ∫xsin^3(x)cos^4(x)dx

Integral of ∫ acos(x) / b + acos(x) dx with t = tan(x/2)

Integral of ∫ acos(x) / b + acos(x) dx with t = tan(x/2)

How to integrate ∫ dx / (a^2 + b^2x^2)

How to integrate ∫ dx / (a^2 + b^2x^2)

How to Integrate ∫ a^x dx

How to Integrate ∫ a^x dx

Find a and b for ax^3 - 8x^2 - 9x + b: Polynomial Remainder Theorem

Find a and b for ax^3 - 8x^2 - 9x + b: Polynomial Remainder Theorem

Integral of tan^4(x) = Integral of y^4/(y^2+1) ?? - Change of Variable

Integral of tan^4(x) = Integral of y^4/(y^2+1) ?? - Change of Variable

Proof: Limit as x approaches 0 of [tan(x) - x] / x^3 = 1/3 (L'Hospital's Rule)

Proof: Limit as x approaches 0 of [tan(x) - x] / x^3 = 1/3 (L'Hospital's Rule)

What is the derivative of sec^2(x)? - d/dx[sec^2(x)]

What is the derivative of sec^2(x)? - d/dx[sec^2(x)]

Limit as x approaches 0 of [tan(x) - x] / x^3 = 0? My calculator lies?

Limit as x approaches 0 of [tan(x) - x] / x^3 = 0? My calculator lies?

What is the Derivative of log_a(x)

What is the Derivative of log_a(x)

What is the derivative of a^x?

What is the derivative of a^x?

Proof: Derivative of e^x is e^x

Proof: Derivative of e^x is e^x

Proof: Derivative of ln(x) = 1/x by First Principles

Proof: Derivative of ln(x) = 1/x by First Principles

Integral of arccos(x) - Integration By Parts

Integral of arccos(x) - Integration By Parts

Integral of lnx/x with Substitution

Integral of lnx/x with Substitution

Integrating (x + 4) / (x^3 + 3x^2 - 10x) - Partial Fractions, Cover Up Rule

Integrating (x + 4) / (x^3 + 3x^2 - 10x) - Partial Fractions, Cover Up Rule

Differentiate Inverse Cosine - arccos(x) - d/dx [ cos^-1(x) ]

Differentiate Inverse Cosine - arccos(x) - d/dx [ cos^-1(x) ]

Geometric Sequences: Find First Term and Common Ratio given Sum to nth term and Infinity

Geometric Sequences: Find First Term and Common Ratio given Sum to nth term and Infinity

Projectile Motion 3 - Angle and Speed Required to Clear 2 Walls

Projectile Motion 3 - Angle and Speed Required to Clear 2 Walls

Projectile Motion 2 - Maximum Height, Flight Time and Range

Projectile Motion 2 - Maximum Height, Flight Time and Range

Projectile Motion 1 - Definition and Derivation of Formulas

Projectile Motion 1 - Definition and Derivation of Formulas

Modelling Free fall with Air Resistance - First Order Differential Equations

Modelling Free fall with Air Resistance - First Order Differential Equations

Mixing Salt and Water with Changing Volume

Mixing Salt and Water with Changing Volume

General Formula for the Integral of ∫ x/ a - bx dx

General Formula for the Integral of ∫ x/ a - bx dx

Integral of ∫ x/(1-x) dx - 2 methods

Integral of ∫ x/(1-x) dx - 2 methods

Integral of ∫sin(2x)cos(5x)dx with Product to Sum Formula

Integral of ∫sin(2x)cos(5x)dx with Product to Sum Formula

Proof: Derivative of sin(x) = cos(x) by First Principles

Proof: Derivative of sin(x) = cos(x) by First Principles

Limit of sin(x)/x as x approaches 0: Geometric Proof

Limit of sin(x)/x as x approaches 0: Geometric Proof

Geometric Series - Sum to Infinity of {9, -3, 1, ... }

Geometric Series - Sum to Infinity of {9, -3, 1, ... }

Modelling Population Growth with the Logistic Model: IVP

Modelling Population Growth with the Logistic Model: IVP

Integral of arcsin(x)dx - Inverse Sine [sin^-1(x)] - Integration by Parts

Integral of arcsin(x)dx - Inverse Sine [sin^-1(x)] - Integration by Parts

Integral of ∫dx/sqrt(1-x^2) by Trigonometric Substitution

Integral of ∫dx/sqrt(1-x^2) by Trigonometric Substitution

Geometric Series: Deriving the Summation Formulas

Geometric Series: Deriving the Summation Formulas

The Logistic Differential Equation for Population Growth: General Solution

The Logistic Differential Equation for Population Growth: General Solution

Geometric Sequences: The Geometric Mean

Geometric Sequences: The Geometric Mean

Geometric Sequences: Find the first term and common ratio

Geometric Sequences: Find the first term and common ratio

Geometric Sequences: Find the 4th term given the 7th term

Geometric Sequences: Find the 4th term given the 7th term

Integral of ∫tan^4(x)dx using the Reduction Formula

Integral of ∫tan^4(x)dx using the Reduction Formula

Lines and Planes: Vector and Dot product forms: Linear Algebra

Lines and Planes: Vector and Dot product forms: Linear Algebra

Newton's Law of Cooling: Time required to cool water in Fridge (25 to 4 deg)

Newton's Law of Cooling: Time required to cool water in Fridge (25 to 4 deg)

Linear systems - 3 Intersecting Planes - No unique solutions

Linear systems - 3 Intersecting Planes - No unique solutions

Mixing Salt and Water - First Order Differential Equations

Mixing Salt and Water - First Order Differential Equations

Reduction Formula for Integral of ∫csc^n(x)dx

Reduction Formula for Integral of ∫csc^n(x)dx

Integral of ∫csc(x)dx

Integral of ∫csc(x)dx

Reduction Formula for Integral of ∫ln^n(x)dx

Reduction Formula for Integral of ∫ln^n(x)dx

How to Integrate ∫ln^2(x)dx

How to Integrate ∫ln^2(x)dx

Integral of ∫tan^2(x)sin^4(x)dx

Integral of ∫tan^2(x)sin^4(x)dx

Modelling Price Inflation with Geometric Sequences

Modelling Price Inflation with Geometric Sequences

The Integral of cot(x)

The Integral of cot(x)

What are Geometric Sequences?

What are Geometric Sequences?

Reduction Formula for Integral of ∫cot^n(x)dx

Reduction Formula for Integral of ∫cot^n(x)dx

Integral of ∫cos^4(x)dx using the Reduction Formula

Integral of ∫cos^4(x)dx using the Reduction Formula

How to Integrate ∫sin^4(x)cos^5(x)dx

How to Integrate ∫sin^4(x)cos^5(x)dx

Integral of ∫∜cos(x)sin^5(x)dx [(cosx)^(1/4)sin^5x - 4th root of cosine]

Integral of ∫∜cos(x)sin^5(x)dx [(cosx)^(1/4)sin^5x - 4th root of cosine]

Reduction Formula for Integral of ∫tan^n(x)dx

Reduction Formula for Integral of ∫tan^n(x)dx

Algebra: Linear Equations: Solving 5 - 5x/2 = 2x + 7

Algebra: Linear Equations: Solving 5 - 5x/2 = 2x + 7

Solving 4^x = ∛128 (cubed-root of 128)

Solving 4^x = ∛128 (cubed-root of 128)

Integral of ∫tan^3(x)dx - tan^3(x)

Integral of ∫tan^3(x)dx - tan^3(x)

Integral of ∫ 3x^2+8 / x^3+4x dx with f'(x)/f(x)

Integral of ∫ 3x^2+8 / x^3+4x dx with f'(x)/f(x)

Integral of ∫4/(x^3+4x)dx

Integral of ∫4/(x^3+4x)dx

Reduction Formula for Integral of ∫sin^n(x)dx

Reduction Formula for Integral of ∫sin^n(x)dx

Differential Equations with Separable Variables - Example 1

Differential Equations with Separable Variables - Example 1

Integral of ∫sin^3(x)dx, ∫sin^3(ax)dx

Integral of ∫sin^3(x)dx, ∫sin^3(ax)dx

The math behind your camping torch with dy/dx = -ky

The math behind your camping torch with dy/dx = -ky

Modelling Radioactive Decay with dy/dx = -ky

Modelling Radioactive Decay with dy/dx = -ky

Modelling Exponential Growth of Bacteria with dy/dx = ky

Modelling Exponential Growth of Bacteria with dy/dx = ky

Separable Differential Equations: dy/dx = ky

Separable Differential Equations: dy/dx = ky

Introduction to Differential Equations

Introduction to Differential Equations

Reduction Formula for Integral of ∫cos^n(x)dx

Reduction Formula for Integral of ∫cos^n(x)dx

Integral of ∫cos^3(x)dx

Integral of ∫cos^3(x)dx

Integral of ∫cot^2(x)dx

Integral of ∫cot^2(x)dx

Derivative of cot(x)

Derivative of cot(x)

Matrix Multiplication - Commutativity

Matrix Multiplication - Commutativity

Reduction Formula for Integral of ∫sec^n(x)dx

Reduction Formula for Integral of ∫sec^n(x)dx

Integral of ∫sec^2(x)/[tan^2(x) + 3tan(x) + 2]dx

Integral of ∫sec^2(x)/[tan^2(x) + 3tan(x) + 2]dx

Matrix Multiplication - Associativity

Matrix Multiplication - Associativity

Solving the Integral of ∫(x^2+1)(x^2+2)/(x^2+3)/(x^2+4)dx

Solving the Integral of ∫(x^2+1)(x^2+2)/(x^2+3)/(x^2+4)dx

Integral of ∫sin(ax^2)cos(ax^2)dx using the Power Series

Integral of ∫sin(ax^2)cos(ax^2)dx using the Power Series

Intro to Matrices: Example Problems

Intro to Matrices: Example Problems

How do I integrate sec^2(ax)dx?

How do I integrate sec^2(ax)dx?

Matrix Multiplication

Matrix Multiplication

Basic Matrix Operations - Scalar Multiplication

Basic Matrix Operations - Scalar Multiplication

Basic Matrix Operations - Addition

Basic Matrix Operations - Addition

Introduction to Matrices - What is a Matrix?

Introduction to Matrices - What is a Matrix?

Polar Conics Example 2 - Sketch r = 12/(6+2sinθ)

Polar Conics Example 2 - Sketch r = 12/(6+2sinθ)

Polar Conics Example 1 - Sketch r = 3/(2+2cosθ)

Polar Conics Example 1 - Sketch r = 3/(2+2cosθ)

Polar Form of Conic Sections - Part 2

Polar Form of Conic Sections - Part 2

Polar Form of Conic Sections - Part 1

Polar Form of Conic Sections - Part 1

Equation for Hyperbolas Translated from Origin

Equation for Hyperbolas Translated from Origin

North-South Opening Hyperbolas

North-South Opening Hyperbolas

Hyperbolas - Example 1: Sketching x^2/16 - y^2/48 = 1

Hyperbolas - Example 1: Sketching x^2/16 - y^2/48 = 1

Sin, Cos, Tan and the Unit Circle

Sin, Cos, Tan and the Unit Circle

Why sin(30˚) equals 1/2

Why sin(30˚) equals 1/2

Integral of ∫sec^2(x)dx

Integral of ∫sec^2(x)dx

Conic Sections: The Hyperbola - Part 2

Conic Sections: The Hyperbola - Part 2

Conic Sections: The Hyperbola - Part 1

Conic Sections: The Hyperbola - Part 1

Equation for ellipse with vertical Major Axis

Equation for ellipse with vertical Major Axis

Equation for ellipses not centred at Origin

Equation for ellipses not centred at Origin

Ellipses - Example 2: Finding the Equation

Ellipses - Example 2: Finding the Equation

Ellipses - Example 1: Sketching 4x^2 + 9y^2 = 36

Ellipses - Example 1: Sketching 4x^2 + 9y^2 = 36

Integral of ∫dx/sqrt(a^2 + x^2)

Integral of ∫dx/sqrt(a^2 + x^2)

Conic Sections: The Ellipse - Part 2

Conic Sections: The Ellipse - Part 2

How to Integrate ∫sin^3(x)cos^3(x)dx - odd powers

How to Integrate ∫sin^3(x)cos^3(x)dx - odd powers

Integrals of powers of cos(x) - ∫cos^6(x)dx

Integrals of powers of cos(x) - ∫cos^6(x)dx

Conic Sections: The Ellipse - Part 1

Conic Sections: The Ellipse - Part 1

Integral of ∫sec^3(x)dx

Integral of ∫sec^3(x)dx

Integration of ∫sec(x)dx

Integration of ∫sec(x)dx

Conic Sections: The Parabola, e = 1

Conic Sections: The Parabola, e = 1

Conic Sections - Focus, Directrix and Eccentricity

Conic Sections - Focus, Directrix and Eccentricity

Introduction to Conic Sections

Introduction to Conic Sections

How to integrate ∫sin^4(x)cos^2(x)dx - even powers

How to integrate ∫sin^4(x)cos^2(x)dx - even powers

Deriving the Product to Sum Formulas

Deriving the Product to Sum Formulas

Locus in the Cartesian Plane - Part 2

Locus in the Cartesian Plane - Part 2

Integrals of ∫ dx / [a + bcos(x) + csin(x)] using t = tan(x/2)

Integrals of ∫ dx / [a + bcos(x) + csin(x)] using t = tan(x/2)

Integral of ∫cot(x) / [cos^2(x) + cos(x) + 1] dx

Integral of ∫cot(x) / [cos^2(x) + cos(x) + 1] dx

Expressing sin(x) and cos(x) in terms of t = tan(x/2)

Expressing sin(x) and cos(x) in terms of t = tan(x/2)

Expressing sin(x) and cos(x) in terms of tan(x)

Expressing sin(x) and cos(x) in terms of tan(x)

Proof of the Sum-Difference Formulas - Part 2

Proof of the Sum-Difference Formulas - Part 2

Proof of the Sum-Difference Formulas - Part 1

Proof of the Sum-Difference Formulas - Part 1

Locus in the Cartesian Plane - Part 1

Locus in the Cartesian Plane - Part 1

How to evaluate integrals of tan^m(x) sec^n(x)

How to evaluate integrals of tan^m(x) sec^n(x)

Using the Multiple Roots Theorem to Solve a Polynomial Equation

Using the Multiple Roots Theorem to Solve a Polynomial Equation

Using the Complex Conjugate Root Theorem to find Polynomial Roots

Using the Complex Conjugate Root Theorem to find Polynomial Roots

Relationship between roots and coefficients for 4th Order Polynomials

Relationship between roots and coefficients for 4th Order Polynomials

Relationship between roots and coefficients for 3rd Order Polynomials

Relationship between roots and coefficients for 3rd Order Polynomials

How to integrate sin(x^2) - The Fresnel Integral S(x)

How to integrate sin(x^2) - The Fresnel Integral S(x)

Complex Number Plane Geometry Problem - Example 2

Complex Number Plane Geometry Problem - Example 2

Complex Number Plane Geometry Problem - Example 1

Complex Number Plane Geometry Problem - Example 1

Proof that n^3 - n is divisible by 3 using Mathematical Induction

Proof that n^3 - n is divisible by 3 using Mathematical Induction

Describing the Locus of |z - z1| = |z - z2|

Describing the Locus of |z - z1| = |z - z2|

Evaluating the integral ∫tan^2(x)+tan^4(x)dx

Evaluating the integral ∫tan^2(x)+tan^4(x)dx

Locus of Complex Numbers - Argument (angular) Forms

Locus of Complex Numbers - Argument (angular) Forms

How to Integrate ∫sin^3(x)cos^4(x)dx

How to Integrate ∫sin^3(x)cos^4(x)dx

Locus of Complex Numbers: Circular Forms

Locus of Complex Numbers: Circular Forms

Introduction to Locus of Complex Numbers

Introduction to Locus of Complex Numbers

Division of Complex Numbers in Polar Form

Division of Complex Numbers in Polar Form

The Inverse of a Complex Number in Polar Form

The Inverse of a Complex Number in Polar Form

Finding the n-th Roots of a Complex Number using DeMoivre's Theorem

Finding the n-th Roots of a Complex Number using DeMoivre's Theorem

Finding Powers of Complex Numbers using DeMoivre's Theorem

Finding Powers of Complex Numbers using DeMoivre's Theorem

Multiplication of Complex Numbers in Polar Form

Multiplication of Complex Numbers in Polar Form

Converting Complex Numbers from Cartesian to Polar Form

Converting Complex Numbers from Cartesian to Polar Form

Complex Number Addition on the Argand Plane

Complex Number Addition on the Argand Plane

Drawing Complex Numbers on the Argand Plane - Mirroring and Rotation

Drawing Complex Numbers on the Argand Plane - Mirroring and Rotation

How to integrate ∫tan^2(x)sin(x)dx

How to integrate ∫tan^2(x)sin(x)dx

Derivative of sec(x)

Derivative of sec(x)

The Multiplicative Inverse of a Complex Number

The Multiplicative Inverse of a Complex Number

Division of Complex Numbers

Division of Complex Numbers

Multiplication of Complex Numbers

Multiplication of Complex Numbers

Integral of ∫dx / (x^2 + 4x + 5) by Trigonometric Substitution

Integral of ∫dx / (x^2 + 4x + 5) by Trigonometric Substitution

Integral 3x^2+8/x^3+4x by Partial Fraction Decomposition

Integral 3x^2+8/x^3+4x by Partial Fraction Decomposition

Partial Fraction Decomposition with Improper Quotients and Irreducible Factors

Partial Fraction Decomposition with Improper Quotients and Irreducible Factors

Partial Fraction Decomposition with Repeated Factors

Partial Fraction Decomposition with Repeated Factors

Partial Fraction Decomposition - the General Method

Partial Fraction Decomposition - the General Method

Application of the Cosine Rule (Law Of Cosines)

Application of the Cosine Rule (Law Of Cosines)

Application of Trigonometry and Pythagoras' Theorem

Application of Trigonometry and Pythagoras' Theorem

Problem solving with Trigonometry and Linear Equations

Problem solving with Trigonometry and Linear Equations

Simple Harmonic Motion - Finding the Amplitude and Period of Oscillation

Simple Harmonic Motion - Finding the Amplitude and Period of Oscillation

The Perpendicular Distance from a Point to a Line

The Perpendicular Distance from a Point to a Line

How to Calculate Monthly Loan Repayments

How to Calculate Monthly Loan Repayments

Linear Motion - Velocity and Displacement along a straight line

Linear Motion - Velocity and Displacement along a straight line

Cutting Tape - Application of Geometric Series

Cutting Tape - Application of Geometric Series

The integral of cos^2(x^2) expressed as a sum of an infinite series

The integral of cos^2(x^2) expressed as a sum of an infinite series

How to integrate cos(x^2) - The Fresnel Integral C(x)

How to integrate cos(x^2) - The Fresnel Integral C(x)

Maclaurin Series for sin(x)

Maclaurin Series for sin(x)

Maclaurin Series for cos(x)

Maclaurin Series for cos(x)

A Little Exponential Growth Problem - Cultivating Bacteria!

A Little Exponential Growth Problem - Cultivating Bacteria!

Plane Geometry Problem Part 3 - Minimum Area of a Trapezium

Plane Geometry Problem Part 3 - Minimum Area of a Trapezium

Plane Geometry Problem Part 2 - Area of Trapezium Enclosing a Circle

Plane Geometry Problem Part 2 - Area of Trapezium Enclosing a Circle

Plane Geometry Problem Part 1 - Line tangent to Unit Circle

Plane Geometry Problem Part 1 - Line tangent to Unit Circle

How to Integrate ln(x)

How to Integrate ln(x)

Integral of ∫√(a^2 - x^2)dx

Integral of ∫√(a^2 - x^2)dx

The Volume of a Revolved Solid

The Volume of a Revolved Solid

How to find the Area between 2 Functions / Curves

How to find the Area between 2 Functions / Curves

How to Find Areas Under Curves - Part 2 of 2

How to Find Areas Under Curves - Part 2 of 2

How to Find Areas Under Curves - Part 1 of 2

How to Find Areas Under Curves - Part 1 of 2

Sketching Polynomials - Part 3 of 3

Sketching Polynomials - Part 3 of 3

Sketching Polynomials - Part 2 of 3

Sketching Polynomials - Part 2 of 3

Sketching Polynomials - Part 1 of 3

Sketching Polynomials - Part 1 of 3