Given

Integral is of form

Writing numerator as

⇒ px + q = λ(2ax + b) + μ

⇒ x – 1 = λ (2x) + μ

∴ λ = 1/2 and μ = -1

Let x – 1 = 1/2(2x) – 1 and split,

Consider

Let

We know that

Consider

We know that

Then,