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Question Number 191723 by SANOGO last updated on 29/Apr/23

∫_0 ^(2π) 3sintcost dt

$$\int_{\mathrm{0}} ^{\mathrm{2}\pi} \mathrm{3}{sintcost}\:{dt} \\ $$

Answered by mehdee42 last updated on 29/Apr/23

I=(3/2)sin^2 t ]_0 ^(2π)  =0

$$\left.{I}=\frac{\mathrm{3}}{\mathrm{2}}{sin}^{\mathrm{2}} {t}\:\right]_{\mathrm{0}} ^{\mathrm{2}\pi} \:=\mathrm{0} \\ $$

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