Given

Integral is of form

Writing numerator as

⇒ px + q = λ(2ax + b) + μ

⇒ x + 1 = λ (-2x + 5) + μ

∴ λ = -1/2 and μ = 7/2

Let x + 1 = – 1/2(–2x + 5) + 7/2

Consider

Let

We know that

Consider

Let

We know that

Then,