JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Analyzing +4 | -1

The value of

\int \frac{(x-1)}{(x+1) \sqrt{x^3+x^2+x}} d x

, is

View answer and explanation

Correct option: C

2 \tan ^{-1} \sqrt{\frac{x^2+x+1}{x}}+C

Option C (

2 \tan ^{-1} \sqrt{\frac{x^2+x+1}{x}}+C

) is correct because after algebraic manipulation and substitution, the integral simplifies to this inverse tangent form.

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