definite-integral

Related Questions

• $\int_{-1}^{1}{x\,|x|\,}dx=$

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• $\int_{0}^{2n\pi }{\left( |\sin x|-\left. \left| \frac{1}{2}\sin x \right. \right| \right)}\ dx$ 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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• The integral $\int_{-1}^{3}{\left( {{\tan }^{-1}}\frac{x}{{{x}^{2}}+1}+{{\tan }^{-1}}\frac{{{x}^{2}}+1}{x} \right)}\,dx=$

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• $\int_{\,0}^{\,\infty }{\,\log \left( x+\frac{1}{x} \right)\frac{dx}{1+{{x}^{2}}}}$ is equal to

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