definite-integral

Related Questions

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

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• If $\int_{{}}^{{}}{f(x)\,dx}=x{{e}^{-\log |x|}}+f(x),$ then $f(x)$ is

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• The value of $\int_{\,{{e}^{-1}}}^{\,{{e}^{2}}}{\left| \frac{{{\log }_{e}}x}{x} \right|\,dx}$ is

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• $\int_{0}^{\pi /2}{\frac{x\sin x\cos x}{{{\cos }^{4}}x+{{\sin }^{4}}x}}\,dx=$

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