Q9 of 865 Page 19

Evaluate the following integrals:

Given


Integral is of form


Writing numerator as


⇒ px + q = λ(2ax + b) + μ


⇒ x – 1 = λ (2x) + μ


∴ λ = 1/2 and μ = -1


Let x – 1 = 1/2(2x) – 1 and split,




Consider


Let




We know that




Consider


We know that



Then,





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