Q52 of 865 Page 19

Evaluate the following integrals:

Let

We are splitting this in to two functions

First we find the integral of:

Put 1-x²=t

-2xdx=dt

Using integration by parts,

Evaluate the following integrals:

∫ x sin x cos 2x dx

Evaluate the following integrals:

∫ (tan^–1 x²) x dx

Evaluate the following integrals:

∫ sin³ √x dx

Evaluate the following integrals:

∫ x sin³ x dx