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Popular Calculus >

integral of 1/x+c

Solution

\int \frac{1}{x} + c d x

Solution

ln ∣ x ∣ + c x + C

Solution steps

\int \frac{1}{x} + c 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}{x} d x + \int c d x

\int \frac{1}{x} d x = ln ∣ x ∣

\int c d x = c x

= ln ∣ x ∣ + c x

Add a constant to the solution

= ln ∣ x ∣ + c x + C

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

What is the integral of 1/x+c ?
The integral of 1/x+c is ln|x|+cx+C