Вычислите [tex] \int\limits^n_0 [/tex] sin [tex] \frac{x}{3} [/tex] dx. Created by Влад121197. matematika-ru

tex] dx...

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Вычислите [tex] \int\limits^n_0 [/tex] sin [tex] \frac{x}{3} [/tex] dx

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ewgenijbark

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$\int\limits^ \pi _0 {sin \frac{x}{3} }*3 \, d \frac{x}{3}=/ \frac{x}{3}=t/= \\ 3\int\limits^ \pi _0 {sint} \, dt=-3cost=-3(cos \frac{ \pi }{3}-cos0)= \\ =-3(0.5-1)=1.5$

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