[tex]\int\limits^2_1 ( \frac{2}{ x_{2} } +4x-3 x^{2} )dx, \int\limits^ \pi _0 {5x} \, dx [/tex]. Created by Limonsour14. algebra-ru

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[tex]\int\limits^2_1 ( \frac{2}{ x_{2} } +4x-3 x^{2} )dx, \int\limits^ \pi _0 {5x} \, dx [/tex]

математик2011

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!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

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Удачник66

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1) Int(1; 2) (2/x^2 + 4x - 3x^2) dx = -2/x + 2x^2 - x^3 |(1; 2) =
= -2/2 + 2*2^2 - 2^3 - (-2/1 + 2*1 - 1) = -1+8-8+2-2+1 = 0
2) Int(0, pi) 5x dx = 5x^2/2 | (0; pi) = 5pi^2/2 - 0 = 5pi^2/2

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Удачник66 Виноват, во 2) пропустил синус. У Математика2011 все правильно.

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