integral from e to e^2 of 1/x

解答

\int_{e}^{e^{2}} \frac{1}{x} d x

1

求解步骤

\int_{e}^{e^{2}} \frac{1}{x} d x

使用积分常见定则:

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{e}^{e^{2}}

带入上下限计算后得:

1

= 1

\int_{0}^{l o g_{2} (5)} 2^{x} d x

\int_{0}^{3} 3 - \frac{1}{3} x^{2} d x

\int_{2}^{4} x e^{4 x} d x

\int_{0}^{2} 2 e^{- s t} d t

\int_{1}^{2} (3 x - 5)^{3} d x