Evaluate the following integrals:

We can write it as

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 cosecx is first function and cosec²x as the second function.

We know that Cot²x = Cosec²x - 1

We can write