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 =

⇒ I =