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प्रश्न
For \(n\ne -1\), which is the correct integral of \(x^n\)?
पर्याय
\[\int x^n\,dx=nx^{n-1}+\mathrm{C}\]
\[\int x^n\,dx=\frac{x^n}{n}+\mathrm{C}\]
\[\int x^n\,dx=\frac{x^{n-1}}{n-1}+\mathrm{C}\]
\[\int x^n\,dx=\frac{x^{n+1}}{n+1}+\mathrm{C}\]
MCQ
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उत्तर
The power rule increases the exponent from \(n\) to \(n+1\). It then divides by \(n+1\), so it applies when \(n\ne -1\).
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