definite-integral

Related Questions

• The value of the integral $\sum\limits_{k=1}^{n}{\int_{0}^{1}{f(k-1+x)\,dx}}$ is

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• $\int_{0}^{a}{\frac{{{x}^{4}}\,dx}{{{({{a}^{2}}+{{x}^{2}})}^{4}}}}=$

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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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• $\int_{0}^{\pi /2}{{}}\log \sin x\,dx=$

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• If $\int_{\log 2}^{x}{\frac{du}{{{({{e}^{u}}-1)}^{1/2}}}}=\frac{\pi }{6}$, then ${{e}^{x}}=$

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