[tex] \int\limits^ \pi _0 {(2x+3cos2x)} \, dx [/tex] интегралы, помогите решить. Created by yahoo223. matematika-ru

tex] интегралы, помогите решить...

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[tex] \int\limits^ \pi _0 {(2x+3cos2x)} \, dx [/tex]
интегралы, помогите решить

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ShirokovP

Verified answer

$\int\limits^ \pi _0{(2x+3cos2x)} \, dx = \\ \\ = 2* \frac{ x^{2} }{2} + \frac{3}{2} sin2x= \\ \\ = x^{2} +1,5sin2x/_{0}^{ \pi } = \\ \\ = \pi ^2+1,5sin2 \pi -0-1.5sin0= \\ \\ = \pi ^2$

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sin2x cos2x uprostit

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