Question

Evaluate the following integrals:

∫e^{sin x} sin 2x dx

Answer 1

We can write Sin 2x = 2 sin x . cos x

Let Sin x = t

Cos x dx = dt

Using BY PART METHOD. Using the superiority list as ILATE (Inverse Logarithm Algebra Trigonometric Exponential). Taking the first function to the one which comes first in the list.

Here t is the first function and e^t as the second function.