Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Indefinite Integration

Question:

\(\int \frac{dx}{x^{2}-x}\) is equal to

Options:

\(\log(x)-\log(x-1)\)

\(\log(x-1)-\log x\)

\(\log(x-1)+\log x\)

None of these

Correct Answer:

\(\log(x-1)-\log x\)

Explanation:

\(\begin{aligned}\int \frac{dx}{x^{2}-x}&=\int \left(\frac{1}{x-1}-\frac{1}{x}\right)dx\\ &=\log(x-1)-\log (x)\end{aligned}\)