definite-integral

Related Questions

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

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• The parabolas ${{y}^{2}}=4x$ and ${{x}^{2}}=4y$ divide the square region bounded by the lines $x=4$, $y=4$and the coordinate axes. If ${{S}_{1}},{{S}_{2}},{{S}_{3}}$ are respectively the areas of these parts numbered from top to bottom, then ${{S}_{1}}:{{S}_{2}}:{{S}_{3}}$ is

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• The area enclosed between the curves $y={{x}^{3}}$and $y=\sqrt{x}$ is, (in square units)

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• The value of $\int_{\,0}^{\,\pi /2}{\frac{{{e}^{{{x}^{2}}}}}{{{e}^{{{x}^{2}}}}+{{e}^{{{\left( \frac{\pi }{2}\,\,-\,\,x \right)}^{2}}}}}dx}$ is

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• $\int_{0}^{2a}{\frac{f(x)}{f(x)+f(2a-x)}\,dx=}$

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