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Popular Calculus >

integral of 1/5-8/x

Solution

\int \frac{1}{5} - \frac{8}{x} d x

Solution

\frac{1}{5} x - 8 ln ∣ x ∣ + C

Solution steps

\int \frac{1}{5} - \frac{8}{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{1}{5} d x - \int \frac{8}{x} d x

\int \frac{1}{5} d x = \frac{1}{5} x

\int \frac{8}{x} d x = 8 ln ∣ x ∣

= \frac{1}{5} x - 8 ln ∣ x ∣

Add a constant to the solution

= \frac{1}{5} x - 8 ln ∣ x ∣ + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 1/5-8/x ?
The integral of 1/5-8/x is 1/5 x-8ln|x|+C