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Popular >

integral of 1/5-2/x

Solution

\int \frac{1}{5} - \frac{2}{x} d x

Solution

\frac{1}{5} x - 2 ln ∣ x ∣ + C

Solution steps

\int \frac{1}{5} - \frac{2}{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{2}{x} d x

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

\int \frac{2}{x} d x = 2 ln ∣ x ∣

= \frac{1}{5} x - 2 ln ∣ x ∣

Add a constant to the solution

= \frac{1}{5} x - 2 ln ∣ x ∣ + C

Popular Examples

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\frac{d y}{d x} = x x - 18

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\int (cos (2 y) - 3 x^{2} y^{2}) d x

derivative of 1/(2sqrt(3x-1))

\frac{d}{d x} (\frac{1}{2 3 x - 1})

Frequently Asked Questions (FAQ)

What is the integral of 1/5-2/x ?
The integral of 1/5-2/x is 1/5 x-2ln|x|+C