definite-integral

Related Questions

• $\int_{0}^{\pi /2}{\frac{x\sin x\cos x}{{{\cos }^{4}}x+{{\sin }^{4}}x}}\,dx=$

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• $\int_{0}^{\pi /2}{\frac{d\theta }{1+\tan \theta }}=$

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• Let $a,\,\,b,\,\,c$ be non-zero real numbers such that $\int_{0}^{3}{(3a{{x}^{2}}+2bx+c)\,dx}=\int_{1}^{3}{(3a{{x}^{2}}+2bx+c})\,dx\,,$ then

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• Let ${{I}_{1}}=\int_{a}^{\pi -a}{xf(\sin x)dx,\,{{I}_{2}}=\int_{a}^{\pi -a}{\,\,f(\sin x)dx}}$, then ${{I}_{2}}$ is equal to

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• $\int_{0}^{\pi /2}{\frac{\sqrt{\cos x}}{\sqrt{\sin x}+\sqrt{\cos x}}\,dx=}$

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