integral from 2 to e^3 of 1/x

解答

\int_{2}^{e^{3}} \frac{1}{x} d x

3 - ln (2)

十进制

2.30685 \dots

求解步骤

\int_{2}^{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 ∣]_{2}^{e^{3}}

带入上下限计算后得:

3 - ln (2)

= 3 - ln (2)

d er i v a t i v e y = \frac{2 cos ( x )}{x + 1}

d er i v a t i v e e^{- 3 x^{2}}

in v erse l a pl a ce \frac{- s}{7 s ^{2} + 26 s + 25}

\frac{d}{d x} (7 x + 3)

n \to \infty lim (\frac{3 n ^{0.4 + 1} + 7 n}{3 n ^{0.4} + 7 n})