Evaluate the integral:

Key points to solve the problem:


• Such problems require the use of method of substitution along with method of integration by parts. By method of integration by parts if we have


• To solve the integrals of the form: after applying substitution and integration by parts we have direct formulae as described below:





Let, I =


I =


Using a2 – 2ab + b2 = (a - b)2


We have:


I =


As I match with the form:


I =


I =


1