definite-integral

Related Questions

• 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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• $\underset{n\to \infty }{\mathop{\lim }}\,\frac{{{1}^{p}}+{{2}^{p}}+{{3}^{p}}+.....+{{n}^{p}}}{{{n}^{p+1}}}=$

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• $\int_{\,0}^{\,3}{\,\frac{3x+1}{{{x}^{2}}+9}dx=}$

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• 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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• The value of $\int_{\,0}^{\,1}{\frac{{{\tan }^{-1}}x}{1+{{x}^{2}}}dx}$ is

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