How to prove that $$\int\limits_{-\infty}^{\infty}e^{-cx^2}\sin(sx)dx = 0,$$ where $c>0$?
2026-04-03 15:29:47.1775230187
Solve $\int\limits_{-\infty}^{\infty}e^{-cx^2}\sin(sx)dx $
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The function inside the integral is an odd function, So the integral is zero.