Evaluate the following integrals:
We can write it as
Let x2 = t
2xdx = dt
Using the relation in the above condition, we get
Integrating with respect to t
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 is the second function.
Replacing t with x2,we get