integral from-3 to-5 of-4^{-3}

解答

\int_{- 3}^{- 5} - 4^{- 3} d x

\frac{1}{32}

十进制

0.03125

求解步骤

\int_{- 3}^{- 5} - 4^{- 3} d x

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

= - \int_{- 5}^{- 3} - 4^{- 3} d x

常数积分:

\int a d x = a x

= - [(- 4^{- 3}) x]_{- 5}^{- 3}

化简

- [(- 4^{- 3}) x]_{- 5}^{- 3} : - [- \frac{1}{64} x]_{- 5}^{- 3}

= - [- \frac{1}{64} x]_{- 5}^{- 3}

带入上下限计算后得:

- \frac{1}{32}

= - (- \frac{1}{32})

化简

= \frac{1}{32}

\frac{d}{d x} (e^{- 16 x})

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in v erse l a pl a ce \frac{1}{9 s + 1}