integral of 4/5-7/x

解答

\int \frac{4}{5} - \frac{7}{x} d x

\frac{4}{5} x - 7 ln ∣ x ∣ + C

求解步骤

\int \frac{4}{5} - \frac{7}{x} d x

使用积分加法定则:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int \frac{4}{5} d x - \int \frac{7}{x} d x

\int \frac{4}{5} d x = \frac{4}{5} x

\int \frac{7}{x} d x = 7 ln ∣ x ∣

= \frac{4}{5} x - 7 ln ∣ x ∣

解答补常数

= \frac{4}{5} x - 7 ln ∣ x ∣ + C

d er i v a t i v e e^{x} (x^{2} + 1)

\frac{d}{d x} (\frac{e ^{x}}{1 - e ^{- x}})

\frac{\partial}{\partial y} (ln (x - 8 y))

x \to 6 lim (5)

a re a x^{2} - 25, 25 - x^{2}