Evaluate the following integrals:
Given
Integral is of form
Writing numerator as
⇒ px + q = λ(2ax + b) + μ
⇒ x = λ (2x + 6) + μ
∴ λ = 1/2 and μ = -3
Let x = 1/2(2x + 6) – 3 and split,
Consider
Let
We know that
Consider
Let u = x + 3 → dx = du
We know that
Then,