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Popular Calculus >

integral of x^-1

Solution

integral

x^{-} 1

Solution

\frac{x ^{-+ 1}}{- + 1} + C

Solution steps

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

Simplify

= \int x^{-} d x

Apply the Power Rule

= \frac{x ^{-+ 1}}{- + 1}

Add a constant to the solution

= \frac{x ^{-+ 1}}{- + 1} + C

Graph

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Frequently Asked Questions (FAQ)

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