definite-integral

Related Questions

• If $x({{x}^{4}}+1)\varphi (x)=1,$ then $\int_{1}^{2}{\varphi (x)\,dx=}$

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• The area of the smaller segment cut off from the circle ${{x}^{2}}+{{y}^{2}}=9$ by $x=1$ is

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• The value of integral $\int_{1/\pi }^{2/\pi }{\frac{\sin (1/x)}{{{x}^{2}}}}\,dx=$

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• If the area bounded by $y=a{{x}^{2}}$and $x=a{{y}^{2}}$, $a>0$, is 1, then $a=$

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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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