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Popular Calculus >

integral of x/(x^2)

Solution

integral

\frac{x}{x ^{2}}

Solution

ln ∣ x ∣ + C

Solution steps

\int \frac{x}{x ^{2}} d x

Cancel the common factor:

x

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

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= ln ∣ x ∣

Add a constant to the solution

= ln ∣ x ∣ + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of x/(x^2) ?
The integral of x/(x^2) is ln|x|+C