definite-integral

Related Questions

• The correct evaluation of $\int_{0}^{\pi }{\left| \,{{\sin }^{4}}x\, \right|\,dx}$ is

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• $\int_{-\,\pi /2}^{\,\pi /2}{\,\frac{\sin x}{1+{{\cos }^{2}}x}{{e}^{-{{\cos }^{2}}x}}dx}$ is equal to

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• $\underset{n\to \infty }{\mathop{\lim }}\,\left[ \frac{1}{n}+\frac{1}{n+1}+\frac{1}{n+2}+.....\frac{1}{2n} \right]=$

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• The part of circle ${{x}^{2}}+{{y}^{2}}=9$ in between $y=0$ and $y=2$ is revolved about y-axis. The volume of generating solid will be

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• Area bounded by curve $xy=c,$ $x-$axis between $x=1$ and $x=4,$ is

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