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CUET Mathematics 2024 PYQs

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CUET Mathematics 2024

Calculus

>

Integrals

Medium

$\int \dfrac{\pi}{x^{n+1}-x} d x=$

\frac{\pi}{n} \log _{e}\left|\frac{x^{n}-1}{x^{n}}\right|+C

\quad \log _{e}\left|\frac{x^{n}+1}{x^{n}-1}\right|+C

\frac{\pi}{n} \log _{e}\left|\frac{x^{n}+1}{x^{n}}\right|+C

\pi \log _{e}\left|\frac{x^{n}}{x^{n}-1}\right|+C

Correct Option: 1

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