JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \frac{f(x)}{x^2-x+1} \mathrm{~d} x=\frac{3}{2} \log \left(x^2-x+1\right)+

\frac{1}{\sqrt{3}} \tan ^{-1} \frac{2 x-1}{\sqrt{3}}+C

then

f(x)

is equal to

View answer and explanation

Correct option: C

3 x-1

The correct answer is

3x-1

because differentiating the given integral and simplifying leads to

f(x) = 3x - 1

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