definite-integral

Related Questions

• The value of $\int_{\,0}^{\,\pi /2}{{{\left( \sqrt{\sin \theta }\cos \theta \right)}^{3}}d\theta }$ is

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

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• The function $F(x)=\int_{0}^{x}{\log \left( \frac{1-x}{1+x} \right)}\,dx$ is

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• The value of $I=\int_{0}^{\pi /2}{\frac{{{(\sin x+\cos x)}^{2}}}{\sqrt{1+\sin 2x}}\text{ }}dx$is

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• If the area above the x-axis, bounded by the curves $y={{2}^{kx}}$ and $x=0$ and $x=2$ is $\frac{3}{\ln 2},$ then the value of k is

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