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


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