integral from-e^6 to-e^3 of 1/x

解答

\int_{- e^{6}}^{- e^{3}} \frac{1}{x} d x

- 3

求解步骤

\int_{- e^{6}}^{- e^{3}} \frac{1}{x} d x

使用积分常见定则:

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{- e^{6}}^{- e^{3}}

带入上下限计算后得:

- 3

= - 3

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