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Popular >

integral of x^{-1}1

Solution

integral

x^{- 1} 1

Solution

ln ∣ x ∣ + C

Solution steps

\int x^{- 1} \cdot 1 d x

Simplify

x^{- 1} \cdot 1 : \frac{1}{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

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Frequently Asked Questions (FAQ)

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