integral from 1 to b of 1/x

解答

\int_{1}^{b} \frac{1}{x} d x

ln ∣ b ∣

求解步骤

\int_{1}^{b} \frac{1}{x} d x

使用积分常见定则:

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{1}^{b}

带入上下限计算后得:

ln ∣ b ∣

= ln ∣ b ∣

\int_{- 7}^{7} (4 x - 3) d x

\int_{0}^{\frac{π}{4}} 8 sec^{2} (t) d t

\int_{0}^{l n (4 x)} sin (6 e^{t}) d t

\int_{6}^{5} sin (t) d t

\int_{- 4}^{2} - x^{2} - 3 x d x