The integral of $\frac{x^2-x}{x^3-x^2+x-1}$ w.r.t. $x$ is

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

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Analyzing +4 | -1

The integral of

\frac{x^2-x}{x^3-x^2+x-1}

w.r.t.

x

View answer and explanation

Correct option: A

\frac{1}{2} \log \left(x^2+1\right)+C

Option A (

\frac{1}{2} \log \left(x^2+1\right)+C

) is correct because factoring the denominator and simplifying the integrand leads to a simple integral.

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