Evaluate the following integrals:
Let √x = t
Replacing in the original equation , we get
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 et as the second function.
Replacing t with √x
= 2e√x(√x - 1) + c