Evaluate the integrals using substitution.

Given:

Let x = tan θ ⇒ dx = sec² θ d θ

When, x = 0, θ = 0 and when x = 1, θ = π /4

Let

By applying product rule as,

1

2

Evaluate the integrals using substitution.

4

Evaluate the integrals using substitution.

5

Evaluate the integrals using substitution.