definite-integral

Related Questions

• If a curve $y=a\sqrt{x}+bx$ passes through the point (1, 2) and the area bounded by the curve, line $x=4$ and x-axis is 8 sq. unit, then

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• $\int_{\,0}^{\,1}{\frac{d}{dx}\left[ {{\sin }^{-1}}\left( \frac{2x}{1+{{x}^{2}}} \right) \right]\,dx}$ is equal to

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• $\underset{n\to \infty }{\mathop{\lim }}\,\,\left[ \frac{1}{n}+\frac{1}{\sqrt{{{n}^{2}}+n}}+\frac{1}{\sqrt{{{n}^{2}}+2n}}+.....+\frac{1}{\sqrt{{{n}^{2}}+(n-1)n}} \right]$ is equal to

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• The volume of the solid formed by rotating the area enclosed between the curve $y={{x}^{2}}$ and the line $y=1$ about $y=1$ is (in cubic units)

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• $\underset{x\to a}{\mathop{\lim }}\,\frac{f(x)-f(a)}{g(x)\,-g(a)},$

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