integral from 3 to infinity of (ln(x))/x

解答

\int_{3}^{\infty} \frac{ln ( x )}{x} d x

发散

求解步骤

\int_{3}^{\infty} \frac{ln ( x )}{x} d x

计算不定积分:

\int \frac{ln ( x )}{x} d x = \frac{ln ^{2} ( x )}{2} + C

带入上下限计算后得:

\int_{3}^{\infty} \frac{ln ( x )}{x} d x =

发散

= 发散

t an g e n t f (x) = 4 e^{x} cos (x), (0, 4)

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

\frac{d y}{d x} + 2 y = e^{3 x} y^{2}

\int x 3 x^{2} - 3 d x

\int \frac{1}{1 + 1 - x ^{2}} d x