definite-integral

Related Questions

• If $P=\int_{0}^{3\pi }{f({{\cos }^{2}}x)dx}\,\,\text{and}\,\,Q=\int_{0}^{\pi }{f({{\cos }^{2}}x)dx}$, then

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• The integral $\int_{-1}^{3}{\left( {{\tan }^{-1}}\frac{x}{{{x}^{2}}+1}+{{\tan }^{-1}}\frac{{{x}^{2}}+1}{x} \right)}\,dx=$

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• Area bounded by the curve $y=\sin x$ between $x=0$ and $x=2\pi $ is

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• If $f(x)$ is an odd function of $x,$ then $\int_{-\frac{\pi }{2}}^{\frac{\pi }{2}}{f(\cos x)\,dx}$ is equal to

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• $\int_{\,-\pi /2}^{\,\pi /2}{{{\sin }^{4}}x{{\cos }^{6}}x\,dx=}$

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