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