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प्रश्न
Which substitution can also be used before integrating by parts for \[\int \frac{x\sin^{-1}x}{\sqrt{1-x^2}}\,dx?\]
पर्याय
\[\sin^{-1}x=\theta\]
\[x^2=\theta\]
\[\cos^{-1}x=\theta\]
\[\sqrt{1-x^2}=\theta\]
MCQ
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उत्तर
An alternative begins with \(\sin^{-1}x=\theta\). After this substitution, the resulting integral can be evaluated by integration by parts.
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या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
