Given

Integral is of form

Writing numerator as

⇒ px + q = λ(2ax + b) + μ

⇒ 3x + 1 = λ (-2x – 2) + μ

∴ λ = -3/2 and μ = -2

Let 3x + 1 = – (3/2)(–2x – 2) – 2

Consider

Let

We know that

Consider

Let

We know that

Then,