What is the integral of x/(x^2) ?

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

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integral of x/(x^2)

integral

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

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

\frac{e ^{x}}{( x - 1 )}

36 - 25 x^{2}

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

\frac{1}{x ^{2} + 4 x + 9}

x^{\frac{1}{3}} x^{\frac{4}{3}} - 1