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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• Area under the curve $y=\sin 2x+\cos 2x$ between $x=0$ and $x=\frac{\pi }{4},$ is

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• The value of $\int_{\,0}^{\,\pi /2}{\frac{{{\sin }^{2/3}}x}{{{\sin }^{2/3}}x+{{\cos }^{2/3}}x}dx}$ is

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• Area enclosed by the parabola $ay=3({{a}^{2}}-{{x}^{2}})$ and x-axis is

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• $\int_{0}^{2}{\frac{{{x}^{3}}\,dx}{{{({{x}^{2}}+1)}^{\frac{3}{2}}}}}=$

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