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Автор - nyachan

Вычислить интеграл
1. intlimits^4_0 ({x-3sqrt{x}) } , dx

Ответ

Автор - UmbrellaCorporation

intlimits^4_0 {(x-3sqrt{x}) } , dx =frac{x^{2} }{2} -3*frac{2}{3} sqrt{x^{3} }

Сделаем подстановку от 0 до 4

frac{x^{2} }{2} -3*frac{2}{3} sqrt{x^{3}}=frac{16}{2} -2sqrt{64}=8-16=-8

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