integral from 1 to infinity of 1/(4x-1)

解答

\int_{1}^{\infty} \frac{1}{4 x - 1} d x

发散

求解步骤

\int_{1}^{\infty} \frac{1}{4 x - 1} d x

计算不定积分:

\int \frac{1}{4 x - 1} d x = \frac{1}{4} ln ∣ 4 x - 1 ∣ + C

带入上下限计算后得:

\int_{1}^{\infty} \frac{1}{4 x - 1} d x =

发散

= 发散

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