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Popular Calculus >

integral of x^{(-1)}

Solution

\int x^{(- 1)} d x

Solution

ln ∣ x ∣ + C

Solution steps

\int x^{- 1} d x

Use the common integral:

\int x^{- 1} d x = ln (∣ x ∣)

= ln ∣ x ∣

Add a constant to the solution

= ln ∣ x ∣ + C

Graph

Popular Examples

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\int \frac{x + 3}{x ^{2} + 4 x + 5} d x

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\int sin (x - 4) d x

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\int sin^{2} (x) e^{- 2 x} d x

integral of-3x^2cos(x)

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

Frequently Asked Questions (FAQ)

What is the integral of x^{(-1)} ?
The integral of x^{(-1)} is ln|x|+C