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Popular >

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

Popular Examples

integral of (x+3)/(x^2+4x+5)

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

integral of 1/(sqrt(x)\sqrt{1-x)}dx integral

\frac{1}{x 1 - x} d x

integral of sin(v)cos(v)

\int sin (v) cos (v) d v

integral of sin(x-4)

\int sin (x - 4) d x

integral of sin^2(x)e^{-2x}

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

Frequently Asked Questions (FAQ)

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