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Popular >

integral of 1/(x^p)

Solution

\int \frac{1}{x ^{p}} d x

Solution

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

Solution steps

\int \frac{1}{x ^{p}} d x

Apply the Power Rule

: \frac{x ^{- p + 1}}{- p + 1}

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

Add a constant to the solution

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

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Frequently Asked Questions (FAQ)

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