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November 2021 1 18 Report

Помогите, пожалуйста, найти интеграл, если
можно, то подробно
[tex] \int\limits {(2- x^{3}+ \frac{1}{ x^{3} } ) } \, dx [/tex]

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kirichekov

Verified answer

$\int\limits {(2- x^{3} + \frac{1}{ x^{3} } )} \, dx = \int\limits {(2- x^{3}+ x^{-3} ) } \, dx=2x- \frac{ x^{3+1} }{3+1} + \frac{ x^{-3+1} }{-3+1} +C=$
$=2x- \frac{ x^{4} }{4} + \frac{ x^{-2} }{-2} +C=2x- \frac{ x^{4} }{4} - \frac{1}{2 x^{2} } +C$

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pochemu nadstrojki trebuyut specialnogo podklyucheniya a oni zamedlyayut skorost ra

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