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Popular >

integral of 4/5-7/x

Solution

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

Solution

\frac{4}{5} x - 7 ln ∣ x ∣ + C

Solution steps

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

Apply the Sum Rule:

\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 ∣

Add a constant to the solution

= \frac{4}{5} x - 7 ln ∣ x ∣ + C

Popular Examples

derivative of e^x(x^2+1)derivative of

e^{x} (x^{2} + 1)

derivative of (e^x/(1-e^{-x)})

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

(\partial)/(\partial y)(ln(x-8y))

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

limit as x approaches 6 of 5

x \to 6 lim (5)

area x^2-25,25-x^2 area

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

Frequently Asked Questions (FAQ)

What is the integral of 4/5-7/x ?
The integral of 4/5-7/x is 4/5 x-7ln|x|+C