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