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Popular Calculus >

integral of 3/5-4/x

Solution

\int \frac{3}{5} - \frac{4}{x} d x

Solution

\frac{3}{5} x - 4 ln ∣ x ∣ + C

Solution steps

\int \frac{3}{5} - \frac{4}{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{3}{5} d x - \int \frac{4}{x} d x

\int \frac{3}{5} d x = \frac{3}{5} x

\int \frac{4}{x} d x = 4 ln ∣ x ∣

= \frac{3}{5} x - 4 ln ∣ x ∣

Add a constant to the solution

= \frac{3}{5} x - 4 ln ∣ x ∣ + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 3/5-4/x ?
The integral of 3/5-4/x is 3/5 x-4ln|x|+C