definite-integral

Related Questions

• If $\int_{\log 2}^{x}{\frac{du}{{{({{e}^{u}}-1)}^{1/2}}}}=\frac{\pi }{6}$, then ${{e}^{x}}=$

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• $\int_{0}^{\pi /2}{{{\sin }^{5}}x\,dx=}$

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• $\int_{0}^{\pi /2}{\frac{\cos x}{(1+\sin x)(2+\sin x)}}\,dx=$

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• $\int_{0}^{\pi }{{{\sin }^{5}}\left( \frac{x}{2} \right)\,dx}$ equals

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• If ${{I}_{1}}=\int_{e}^{{{e}^{2}}}{\frac{dx}{\log x}}$ and ${{I}_{2}}=\int_{1}^{2}{\frac{{{e}^{x}}}{x}\,dx,}$ then

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