[tex] \int\limits^1_0 {( 5x^{4}- 3x^{2}+5) } \, dx [/tex] Помогите решить. Created by yahoo223. matematika-ru

tex] Помогите решить...

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[tex] \int\limits^1_0 {( 5x^{4}- 3x^{2}+5) } \, dx [/tex]
Помогите решить

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ShirokovP

Verified answer

$\int\limits^1_0{(5 x^{4} -3 x^{2} +5)} \, dx = \\ \\ =5* \frac{x^5}{5} -3* \frac{x^3}{3} +5x= \\ \\ = x^{5} - x^{3} +5x/^{1}_{0} = \\ \\ =1^5-1^3+5*1=5.$

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