Evaluate the following integrals:
Given 
Integral is of form 
Writing numerator as 
⇒ px + q = λ(2ax + b) + μ
⇒ x + 1 = λ (-2x + 5) + μ
∴ λ = -1/2 and μ = 7/2
Let x + 1 = – 1/2(–2x + 5) + 7/2
Consider 
Let 
We know that 
Consider 
Let 
We know that 
Then,
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