integral from 10 to infinity of x^{-2/3}

解答

\int_{10}^{\infty} x^{- \frac{2}{3}} d x

发散

求解步骤

\int_{10}^{\infty} x^{- \frac{2}{3}} d x

计算不定积分:

\int x^{- \frac{2}{3}} d x = 3 x^{\frac{1}{3}} + C

带入上下限计算后得:

\int_{10}^{\infty} x^{- \frac{2}{3}} d x =

发散

= 发散

\frac{d}{d x} (\frac{40}{x ^{5}})

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