definite-integral

Related Questions

• If $[x]$ denotes the greatest integer less than or equal to $x$, then the value of $\int_{\,1}^{\,5}{\,\,[|x-3|]\,dx}$ is

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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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• $\int_{0}^{1}{\log \sin \left( \frac{\pi }{2}x \right)}\,dx=$

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• The correct evaluation of $\int_{0}^{\pi /2}{\left| \,\sin \left( x-\frac{\pi }{4} \right)\, \right|\,dx}$ is

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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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