Q. 85.0( 1 Vote )

# Evaluate the following integrals:

Answer :

Given

Integral is of form

Writing numerator as

⇒ px + q = λ(2ax + b) + μ

⇒ x + 2 = λ (2x) + μ

∴ λ = 1/2 and μ = 2

Let x + 2 = 1/2(2x) + 2 and split,

Consider

Let

We know that

Consider

We know that

Then,

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