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,
![]()


AI is thinking…
Couldn't generate an explanation.
Generated by AI. May contain inaccuracies — always verify with your textbook.


