definite-integral

Related Questions

• Let $f(x)$ be a non-negative continous function such that the area bounded by the curve $y=f(x)$, x-axis and the ordinates $x=\frac{\pi }{4}$, $x=\beta >\frac{\pi }{4}$ is $\left( \beta \sin \beta +\frac{\pi }{4}\cos \beta +\sqrt{2}\beta \right)$. Then $f\ \left( \frac{\pi }{2} \right)$ is

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• The area between the parabola ${{y}^{2}}=4ax$and ${{x}^{2}}=8ay$ is

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• $\int_{-1}^{1}{x{{\tan }^{-1}}x\,dx}$ equals

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

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• Suppose f is such that $f(-x)=-f(x)$ for every real x and $\int_{\,0}^{\,1}{f(x)\,dx=5,}$ then $\int_{\,-\,1}^{\,0}{f(t)\,dt=}$

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