definite-integral

Related Questions

• $\underset{n\to \infty }{\mathop{\lim }}\,\frac{1}{n}\sum\limits_{r=1}^{2n}{\frac{r}{\sqrt{{{n}^{2}}+{{r}^{2}}}}}$ equals

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• $\int_{\,0}^{\,1}{\frac{d}{dx}\left[ {{\sin }^{-1}}\left( \frac{2x}{1+{{x}^{2}}} \right) \right]\,dx}$ is equal to

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• If $\int_{0}^{\pi }{x\,f({{\cos }^{2}}x+{{\tan }^{4}}x)\,dx}$ $=k\int_{0}^{\pi /2}{f({{\cos }^{2}}x+{{\tan }^{4}}x)\,dx,}$ then the value of $k$ is

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• $\int_{-1}^{1}{{{x}^{17}}{{\cos }^{4}}x}\,dx=$

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• Area under the curve $y=\sqrt{3x+4}$ between $x=0$ and $x=4,$ is

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