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Results tagged with integration
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user 380650
Questions related to various forms of integration including the Riemann integral, Lebesgue integral, Riemann–Stieltjes integral, double integrals, line integrals, contour integrals, surface integrals, integrals of differential forms, ...
0
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Integration of the product of sin and exponential with power [closed]
$$\ \int_0^{\pi} \bigl(\sin(x)\bigr)^{2n-2k+1} e^{a\cos(x)} dx , \qquad a,n,k\in\mathbb Z.$$
I tried to solve this integral by parts, but I didn't get any result. I look forward to your experience.
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3
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1
answer
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Integration of $\int\limits_0^{2\pi} \int\limits_0^{2\pi} \min \{ x-y, 2\pi- (x-y) \} e^{a\c...
$$\int\limits_0^{2\pi} \int\limits_0^{2\pi} \min \{ x-y, 2\pi- (x-y) \} e^{a\cos(x)} e^{a\cos(y)} \, dx \, dy, \qquad a\in\mathbb R.
$$
I tried to find the value of the integral following the method p …
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