definite-integral

Related Questions

• $\int_{0}^{\pi /3}{\cos 3x\,dx=}$

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• The value of the integral $\int_{0}^{\log 5}{\frac{{{e}^{x}}\sqrt{{{e}^{x}}-1}}{{{e}^{x}}+3}}\,dx=$

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• $\int_{-\pi /2}^{\pi /2}{{{\sin }^{2}}x\,dx=}$

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• 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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• The value of $\underset{n\to \infty }{\mathop{\lim }}\,\left[ \frac{n}{1+{{n}^{2}}}+\frac{n}{4+{{n}^{2}}}+\frac{n}{9+{{n}^{2}}}+....+\frac{1}{2n} \right]$is equal to

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