Канал: Math Elite

Integral of x^(3x)*2^x*[3lnx+ln2+3] from 0 to 1

Integral of x^(3x)2^x[3lnx+ln2+3] from 0 to 1

BEAST derivative problem!

BEAST derivative problem!

1-1/2^2+1/3^2-1/4^2+...

1-1/2^2+1/3^2-1/4^2+...

Weirdest equation you ever seen...

Weirdest equation you ever seen...

Integral of ln(x+1/(2x)) using DI method and trig sub

Integral of ln(x+1/(2x)) using DI method and trig sub

Does the infinite sum of 1/[kln(lnk)] converge?

Does the infinite sum of 1/[kln(lnk)] converge?

Derivative of f^-1[xf^-1(x)]

Derivative of f^-1[xf^-1(x)]

(1+y^-1+y^-2) dx = x^-1 y^-2 dy, y(1)=-1/2

(1+y^-1+y^-2) dx = x^-1 y^-2 dy, y(1)=-1/2

Triple integral problem!! (1080p)

Triple integral problem!! (1080p)

Triple sum problem!

Triple sum problem!

Nice implicit derivative question

Nice implicit derivative question

x^2 y'' + xy' + y = (x+1)^3 - (x-1)^3 for polynomial y

x^2 y'' + xy' + y = (x+1)^3 - (x-1)^3 for polynomial y

1+2+3+4+5+... (NOT -1/12)

1+2+3+4+5+... (NOT -1/12)

Limit of a derivative question

Limit of a derivative question

y^(4) - y = x^4

y^(4) - y = x^4

Nice integral identity with power series

Nice integral identity with power series

x+8x^2+27x^3+64x^4+...=?

x+8x^2+27x^3+64x^4+...=?

Derivative of x^x (tan^-1(x))^2

Derivative of x^x (tan^-1(x))^2

y"'-6y"+11y'-6y=4

y"'-6y"+11y'-6y=4

Integral of x^2 tan^-1(x) from 0 to 1

Integral of x^2 tan^-1(x) from 0 to 1

My custom power series problem!

My custom power series problem!

Find the derivative of x/3[ln(2x)-cos^3(4x)-pi] at x=pi/4

Find the derivative of x/3[ln(2x)-cos^3(4x)-pi] at x=pi/4

f(x+y)=f(x)+f(y)+xy

f(x+y)=f(x)+f(y)+xy

Integral of 1/2sqrt(1+1/x) from 0 to 1

Integral of 1/2sqrt(1+1/x) from 0 to 1

Sum of k from 1 to n in nice ways

Sum of k from 1 to n in nice ways

[d^2/dx^2]y - 9y = x-1, find dy/dx

[d^2/dx^2]y - 9y = x-1, find dy/dx

cosh(x)=e^x+5=e^y-3

cosh(x)=e^x+5=e^y-3

Integral of Whaaat?

Integral of Whaaat?

Calculus 2 power series question

Calculus 2 power series question

Complicated implicit differentiation problem

Complicated implicit differentiation problem

sinz = i, solve for complex solutions

sinz = i, solve for complex solutions

My integral problem to you (Boss Level)

My integral problem to you (Boss Level)

Does this converge or diverge?

Does this converge or diverge?

Derivative of |x| using limit definition

Derivative of |x| using limit definition

x^y = y^x, find all solutions

x^y = y^x, find all solutions

Integral of ln(x+1)/(x^2+1) from 0 to 1

Integral of ln(x+1)/(x^2+1) from 0 to 1

Typical calculus 2 & AP Calc AB/BC series question

Typical calculus 2 & AP Calc AB/BC series question

Derivative of sinh[ln(sinx)] at x=pi/4

Derivative of sinh[ln(sinx)] at x=pi/4

Infinite series equal each other?

Infinite series equal each other?

The best pi identity?!

The best pi identity?!

tan1tan2+tan2tan3+...+tan(n)tan(n+1)

tan1tan2+tan2tan3+...+tan(n)tan(n+1)

Derivative of tanh^-1(x)

Derivative of tanh^-1(x)

[sinx+sin(3x)]/sin(2x) = sqrt2

[sinx+sin(3x)]/sin(2x) = sqrt2

One of my favorite integrals!

One of my favorite integrals!

sin1 + sin2 + ... + sin(n)

sin1 + sin2 + ... + sin(n)

Derivative question with limits

Derivative question with limits

Which is bigger? e^pi vs pi^e

Which is bigger? e^pi vs pi^e

Bonus Video (rare)

Bonus Video (rare)

Integral of 1/(x^4+4)

Integral of 1/(x^4+4)

Weird infinite sum

Weird infinite sum

Derivative of e^(bx) at b=0 using limits!

Derivative of e^(bx) at b=0 using limits!

Find xy please!

Find xy please!

Integral of Cin(x) from 0 to pi

Integral of Cin(x) from 0 to pi

1/(1+tan1)+1/(1+tan2)+...+1/(1+tan89)

1/(1+tan1)+1/(1+tan2)+...+1/(1+tan89)

Derivative of x^x using limit definition

Derivative of x^x using limit definition

This looks really hard!

This looks really hard!

Integral of sinx/x from -infinity to infinity

Integral of sinx/x from -infinity to infinity

Infinite product of cos(x/2^k)

Infinite product of cos(x/2^k)

Many product rules!

Many product rules!

Intriguing system of equations

Intriguing system of equations

Infinite sum of (k-1)/(k2^k)

Infinite sum of (k-1)/(k2^k)

Integral of Si(x) from 0 to pi

Integral of Si(x) from 0 to pi

Why 4^n+n^4 is NOT prime (for integers bigger than 1)

Why 4^n+n^4 is NOT prime (for integers bigger than 1)

Integral proof...

Integral proof...

Implicit differentiation again!

Implicit differentiation again!

Solving for tan(x)...

Solving for tan(x)...

1/[sin1sin2] + 1/[sin2sin3] + ... + 1/[sin(n)sin(n+1)]

1/[sin1sin2] + 1/[sin2sin3] + ... + 1/[sin(n)sin(n+1)]

Integral of e^(x^2) - two ways

Integral of e^(x^2) - two ways

If p and p^2+2 are prime, show that p^3+2 is prime

If p and p^2+2 are prime, show that p^3+2 is prime

WolframAlpha can't solve this....

WolframAlpha can't solve this....

Quotient Rule with lots of 2's

Quotient Rule with lots of 2's

A nice system of equations

A nice system of equations

I finally did this integral...

I finally did this integral...

Nice number theory question

Nice number theory question

A parametric derivative suggestion

A parametric derivative suggestion

Derivative of sinxcosx(1+x^2)^3

Derivative of sinxcosx(1+x^2)^3

√x + √(x+1) = √(x+2)

√x + √(x+1) = √(x+2)

A nice separable differential equation

A nice separable differential equation

Floor equation for the win

Floor equation for the win

Integral of sqrt(4-x^2)/x from 1 to 2

Integral of sqrt(4-x^2)/x from 1 to 2

More implicit differentiation for you

More implicit differentiation for you

Solving a tough absolute value equation

Solving a tough absolute value equation

Derivative of tan(x) - ASMR math

Derivative of tan(x) - ASMR math

Af(x) + Bf(y) = f(Ax+By)

Af(x) + Bf(y) = f(Ax+By)

Solve differential equation: y"+y'+y=0

Solve differential equation: y"+y'+y=0

Integral of 1/(1±sin(x))

Integral of 1/(1±sin(x))

The Longest Math YouTube Premiere!

The Longest Math YouTube Premiere!

Find the derivative of sqrt(x)^sqrt(x)^... at x=1

Find the derivative of sqrt(x)^sqrt(x)^... at x=1

sqrt(x-1)sqrt(4-x^2) = sqrt(x^2-1)sqrt(4-x)

sqrt(x-1)sqrt(4-x^2) = sqrt(x^2-1)sqrt(4-x)

An integral and a nice integral identity

An integral and a nice integral identity

sqrt(1-x) + sqrt(2-x) = sqrt(x)

sqrt(1-x) + sqrt(2-x) = sqrt(x)

Differential Equations are back!

Differential Equations are back!

Based on a viewer suggested problem

Based on a viewer suggested problem

A trig integral done two ways

A trig integral done two ways

x = sqrt(2) VS x^2 = 2

x = sqrt(2) VS x^2 = 2

Solving a nice floor equation for integers

Solving a nice floor equation for integers

cos(x)=x, find approximate x

cos(x)=x, find approximate x

Solve for x: sin(x)+sin(x+1)=1

Solve for x: sin(x)+sin(x+1)=1

Integral of 1/(1+2sinxcosx)

Integral of 1/(1+2sinxcosx)

Turn any number into an infinite square root!

Turn any number into an infinite square root!

A calculus functional equation....

A calculus functional equation....

A nice calculus derivative problem

A nice calculus derivative problem

A hard looking trig integral!

A hard looking trig integral!

Prove sqrt(2) is less than 3/2

Prove sqrt(2) is less than 3/2

Solve x^3+x-1=0 (complex solutions!)

Solve x^3+x-1=0 (complex solutions!)

A made up functional equation

A made up functional equation

Prove (x+y)/2 ≥ sqrt(xy)

Prove (x+y)/2 ≥ sqrt(xy)

Find dy/dx with implicit differentiation

Find dy/dx with implicit differentiation

Verifying an integral's result....

Verifying an integral's result....

Integral of sqrt(x^2+1)

Integral of sqrt(x^2+1)

Another functional equation, since they're cool

Another functional equation, since they're cool

Integral of x^2/(x+sqrt(x))

Integral of x^2/(x+sqrt(x))

Solve x^3+x+1=0 for reals (without cubic formula)

Solve x^3+x+1=0 for reals (without cubic formula)

Integral of |x|^3

Integral of |x|^3

Half derivative of x

Half derivative of x

Triangle Inequality Proof

Triangle Inequality Proof

sqrt(1-x^2)=sqrt(x^2-1)

sqrt(1-x^2)=sqrt(x^2-1)

Integral of 1/(2x^2+2x+1)

Integral of 1/(2x^2+2x+1)

Find the nth Fibonacci number

Find the nth Fibonacci number

Find the value of (n+1/2)!

Find the value of (n+1/2)!

Prove that (2n)! is bigger than (n!)^2

Prove that (2n)! is bigger than (n!)^2

$Derivative of infinitely continued fraction$

Derivative of infinitely continued fraction

My functional equation, is it cool?

My functional equation, is it cool?

Half derivative of 1

Half derivative of 1

Solve for the positive integers!

Solve for the positive integers!

Integral of sqrt(1+sqrt(1+x))

Integral of sqrt(1+sqrt(1+x))

Derivative at a certain x-value

Derivative at a certain x-value

An easy functional equation

An easy functional equation

The most beautiful equation PART 2

The most beautiful equation PART 2

Integral of (x^2+1)/(x^4-x^2+1)

Integral of (x^2+1)/(x^4-x^2+1)

What is the value of 0^0?

What is the value of 0^0?

Derivative of x^(xlnx)

Derivative of x^(xlnx)

A JEE integral....by parts

A JEE integral....by parts

When does the second derivative equal the second integral?

When does the second derivative equal the second integral?

Prove that xy is bigger than x+y for x and y bigger than 2 (alpha is positive)

Prove that xy is bigger than x+y for x and y bigger than 2 (alpha is positive)

The most beautiful equation....

The most beautiful equation....

Integral of sin(x)/x from 0 to 1

Integral of sin(x)/x from 0 to 1

Derivative of sqrt(x) using the limit definition

Derivative of sqrt(x) using the limit definition

The integral of ln(x^2+1) without trig substitution!

The integral of ln(x^2+1) without trig substitution!

But what if sqrt2 is rational.....

But what if sqrt2 is rational.....

JEE Advanced Maths: limit with an integral

JEE Advanced Maths: limit with an integral

Solve x^4 - 1 = 0 without perfect squares factoring

Solve x^4 - 1 = 0 without perfect squares factoring

Integral of cos^2(x)e^x

Integral of cos^2(x)e^x

Solve x + y = xy for positive integers

Solve x + y = xy for positive integers

A new way to do derivatives (full derivation)

A new way to do derivatives (full derivation)

Square root of 3 vs cube root of 4

Square root of 3 vs cube root of 4

A nice cubic equation

A nice cubic equation

Question from JEE Advanced 2020 Maths

Question from JEE Advanced 2020 Maths

Derivative of 1/x using the limit definition

Derivative of 1/x using the limit definition

Find the derivative of x^2*e^x*tan^-1(x)

Find the derivative of x^2e^xtan^-1(x)

Solving a System of Linear Equations

Solving a System of Linear Equations

A super interesting functional equation

A super interesting functional equation

Derivatives will never be the same again....

Derivatives will never be the same again....

Find the derivative of x^tan(x) + tan^x(x)

Find the derivative of x^tan(x) + tan^x(x)

Derivative of x^(2sinx)

Derivative of x^(2sinx)

$Find frac(x) + frac(-x), thanks SyberMath$

Find frac(x) + frac(-x), thanks SyberMath

Solve without cubic formula

Solve without cubic formula

$Infinite continued fractions with example$

Infinite continued fractions with example

Ay" + By' + Cy = 0, find y=f(x)

Ay" + By' + Cy = 0, find y=f(x)

Find the second derivative of (atan(x))^3

Find the second derivative of (atan(x))^3

When does the derivative equal the integral?

When does the derivative equal the integral?

A question from Ramanujan

A question from Ramanujan

Find the derivative of (x-1)/sqrt(x-2)

Find the derivative of (x-1)/sqrt(x-2)

Find f(x,y) given df/dx = df/dy = 1/(x+y)

Find f(x,y) given df/dx = df/dy = 1/(x+y)

Derivative of x^4 using the limit definition #shorts

Derivative of x^4 using the limit definition #shorts

Harmonic Series Divergence Proof #shorts

Harmonic Series Divergence Proof #shorts

y" - y = x^2, solve for y

y" - y = x^2, solve for y

Is 0.999.... = 1? #shorts

Is 0.999.... = 1? #shorts

Find the value of sqrt(i)

Find the value of sqrt(i)

Find the derivative of 1/x + 1/x^2 + 1/x^3 at x=1 #shorts

Find the derivative of 1/x + 1/x^2 + 1/x^3 at x=1 #shorts

Find the derivative of x^sqrt(x)

Find the derivative of x^sqrt(x)

Derivative and integral of x^x #shorts

Derivative and integral of x^x #shorts

Integral of x^(-x) from 0 to 1

Integral of x^(-x) from 0 to 1

Solve y' - 2y = 0 #shorts

Solve y' - 2y = 0 #shorts

sin(z) = 2, z is complex

sin(z) = 2, z is complex

Find the nth derivative of x^n #shorts

Find the nth derivative of x^n #shorts

Find the derivative of sin(x)+2cos(x) at x=pi/4 #shorts

Find the derivative of sin(x)+2cos(x) at x=pi/4 #shorts

x = 2floor(x) - 1, find all real solutions

x = 2floor(x) - 1, find all real solutions

Derivative of cos(2x) TWO ways

Derivative of cos(2x) TWO ways

Derivative of x^3 using the limit definition #shorts

Derivative of x^3 using the limit definition #shorts

Convert a circle equation to polar coordinates

Convert a circle equation to polar coordinates

What is 6 ÷ 2(1+2)? #shorts #pemdas

What is 6 ÷ 2(1+2)? #shorts #pemdas

Find the real part of sqrt(1+2i)

Find the real part of sqrt(1+2i)

Integral of x^2*e^(5x) #shorts

Integral of x^2*e^(5x) #shorts

Integral of e^(-x^2) from 0 to infinity

Integral of e^(-x^2) from 0 to infinity

Graph: 4y^2 = x^2(1-x^2)

Graph: 4y^2 = x^2(1-x^2)

sin(z) = pi, z is complex

sin(z) = pi, z is complex

f(x) = sqrt(1-x^2) + 1/sqrt(1-x^2) + sin^-1(x), find f'(1/2)

f(x) = sqrt(1-x^2) + 1/sqrt(1-x^2) + sin^-1(x), find f'(1/2)

Integral of ln(x^2+1)

Integral of ln(x^2+1)

Derivative of x^x^x

Derivative of x^x^x

floor(x) = bx, b is bigger than or equal to 2

floor(x) = bx, b is bigger than or equal to 2

Integral of x^x from 0 to 1

Integral of x^x from 0 to 1

Integral of sqrt(1-x^4)/x

Integral of sqrt(1-x^4)/x

Convert polar equation to rectangular coordinates

Convert polar equation to rectangular coordinates

Second derivative of atan(x^2)

Second derivative of atan(x^2)

Derivative of asin(x^2+x) + 5^x, at x=0

Derivative of asin(x^2+x) + 5^x, at x=0

Derivative of x/(x-2) TWO ways

Derivative of x/(x-2) TWO ways

x^y = y^x find dy/dx

x^y = y^x find dy/dx

Using the definition of derivative to find f'(2)

Using the definition of derivative to find f'(2)

Find the derivative of x^(x/lnx)

Find the derivative of x^(x/lnx)