definite-integral

Related Questions

• If $f:R\to R$ and $g:R\to R$ are one to one, real valued functions, then the value of the integral $\int_{\,-\pi }^{\,\pi }{[f(x)+f(-x)]\,[g(x)-g(-x)]\,dx}$ 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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• $\int_{-4}^{4}{|x+2|\,dx}=$

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

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• If $f(x)= \begin{cases} {{e}^{\cos x}}\sin x, & |x|\,\le 2 \\ 2, & \text{otherwise} \\ \end{cases}$, then $\int_{\,-\,2}^{\,3}{f(x)\,dx}$ is equal to

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