Evaluate the following integrals:

let

Let = t .....(i)

⇒ dx = dt

Let .....(i)

⇒ dt = du

so,

[using (i)]

[using (ii)]

2

Evaluate the following integrals:

3

Evaluate the following integrals:

5

Evaluate the following integrals:

6

Evaluate the following integrals: