definite-integral

Related Questions

• $\int_{0}^{1}{{{\tan }^{-1}}x\,dx=}$

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• Let $f(x)=\int_{\,1}^{\,x}{\sqrt{2-{{t}^{2}}}dt}$. Then real roots of the equation ${{x}^{2}}-{f}'(x)=0$ are

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• $\int_{0}^{\pi /4}{{{\tan }^{6}}x{{\sec }^{2}}x\,dx=}$

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• The area bounded by the parabola ${{y}^{2}}=4ax,$ its axis and two ordinates $x=4,$ $x=9$ is

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• The area bounded by the x-axis, the curve $y=f(x)$ and the lines $x=1,\,x=b$ is equal to $\sqrt{{{b}^{2}}+1}-\sqrt{2}$ for all b > 1, then $f(x)$ is

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