Given

Integral is of form

Writing numerator as

⇒ px + q = λ(2ax + b) + μ

⇒ 2x + 5 = λ (2x + 2) + μ

∴ λ = 1 and μ = 3

Let 2x + 5 = 2x + 2 + 3 and split,

Consider

Let

We know that

Consider

Let

We know that

Then,