Answer :
Given
Integral is of form
Writing numerator as
⇒ px + q = λ(2ax + b) + μ
⇒ 2x + 5 = λ (2x + 2) + μ
∴ λ = 1 and μ = 3
Let 2x + 5 = 2x + 2 + 3 and split,
Consider
Let
We know that
Consider
Let
We know that
Then,
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