definite-integral

Related Questions

• The value of the integral $\int_{0}^{\log 5}{\frac{{{e}^{x}}\sqrt{{{e}^{x}}-1}}{{{e}^{x}}+3}}\,dx=$

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• The greatest value of the function $F(x)=\int_{1}^{x}{\,\,|t|\,dt}$ on the interval $\left[ -\frac{1}{2},\,\,\frac{1}{2} \right]$ is given by

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• $\int_{0}^{1/2}{\frac{x{{\sin }^{-1}}x}{\sqrt{1-{{x}^{2}}}}\,dx=}$

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• If $P=\int_{0}^{3\pi }{f({{\cos }^{2}}x)dx}\,\,\text{and}\,\,Q=\int_{0}^{\pi }{f({{\cos }^{2}}x)dx}$, then

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• The value of $\int_{\,0}^{\,\pi /2}{\frac{{{e}^{{{x}^{2}}}}}{{{e}^{{{x}^{2}}}}+{{e}^{{{\left( \frac{\pi }{2}\,\,-\,\,x \right)}^{2}}}}}dx}$ is

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