definite-integral

Related Questions

• 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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• $\int_{\,0}^{\,\pi /2}{\{x-[\sin x]\}\,dx}$ is equal to

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• $\int_{0}^{2\pi }{\sqrt{1+\sin \frac{x}{2}}\,dx=}$

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• $\underset{n\to \infty }{\mathop{\text{lim}\,}}\,\left[ \frac{1}{{{n}^{2}}}{{\sec }^{2}}\frac{1}{{{n}^{2}}}+\frac{2}{{{n}^{2}}}{{\sec }^{2}}\frac{4}{{{n}^{2}}}+.....+\frac{1}{n}{{\sec }^{2}}1 \right]$ equals

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• Let ${{I}_{1}}=\int_{1}^{2}{\frac{dx}{\sqrt{1+{{x}^{2}}}}}$and${{I}_{2}}=\int_{1}^{2}{\frac{dx}{x}}$ then

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