Evaluate the following integrals:
Given
Integral is of form
Writing numerator as
⇒ px + q = λ(2ax + b) + μ
⇒ x + 2 = λ (2x) + μ
∴ λ = 1/2 and μ = 2
Let x + 2 = 1/2(2x) + 2 and split,
Consider
Let
We know that
Then,