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Popular Calculus >

integral of 1/(x^y)

Solution

integral

\frac{1}{x ^{y}}

Solution

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

Solution steps

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

Apply the Power Rule

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

Add a constant to the solution

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

Graph

Popular Examples

integral of 3e^2x

integral of (2x)/(e^x)

integral of (x^2)/((x^3+1)^{1/2)}

integral of (-2)/(e^x)

integral of 5(1-x)^4

Frequently Asked Questions (FAQ)

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