integral from-infinity to 0 of 1/(5-4x)

解答

\int_{- \infty}^{0} \frac{1}{5 - 4 x} d x

发散

求解步骤

\int_{- \infty}^{0} \frac{1}{5 - 4 x} d x

计算不定积分:

\int \frac{1}{5 - 4 x} d x = - \frac{1}{4} ln ∣ 5 - 4 x ∣ + C

带入上下限计算后得:

\int_{- \infty}^{0} \frac{1}{5 - 4 x} d x =

发散

= 发散

\frac{d}{d x} (ln (13 x) + 13)

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

x \to 0 + lim (- csc^{2} (x))

\frac{d}{d x} (x^{2} (x + 3)^{10})

a re a y = x^{3} - 2 x^{2} + 2, y = 3 x^{2} + 3 x - 13