Which integration technique do we use? How to choose between U-substitution, integration by parts, trig substitution, or integration by partial fractions? Here I will demonstrate 13 integrals and how we decide what technique to use on them. Here is the file for you to try all the problems first 👉 [ Ссылка ]
Best of luck with your calculus class!
0:00 What Integration Technique Do We Use?
0:56 Q1 to Q4
9:15 Q5 to Q8
17:54 Q9 to Q13
Please see my other videos for their individual solution.
Q1, integral of sin^-1(x), [ Ссылка ]
Q2, integral of (sin(x)+cos(x))^2, [ Ссылка ]
Q3, integral of (3x-5)/((x-1)(x-3)(x-5)), [ Ссылка ]
Q4, integral of x^5*sin(x^3), [ Ссылка ]
Q5, integral of sqrt(x^2+1), [ Ссылка ]
Q6, integral of ln(x)/x^2, [ Ссылка ]
Q7, integral of e^x/(1+e^(2x)), [ Ссылка ]
Q8, integral of (3x-5)/((x+1)(x+2)^2), [ Ссылка ]
Q9, integral of sin^3(x)/cos(x), [ Ссылка ]
Q10, integral of 1/(1-sqrt(x)), [ Ссылка ]
Q11, integral of pi^x, [ Ссылка ]
Q12, integral of sqrt(2-x^2)/x^2, [ Ссылка ]
Q13, integral of tan(x)*sec^4(x)
