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Popular >

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}

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

Add a constant to the solution

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

Popular Examples

integral of ((8/x)+2x)^2 integral

((\frac{8}{x}) + 2 x)^{2}

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

\frac{x}{( a ^{2} - x ^{2} )}

integral of 3e^2x integral

3 e^{2} x

integral of 1/((a^2+b^2))integral

\frac{1}{( a ^{2} + b ^{2} )}

integral of (-1)/t integral

\frac{- 1}{t}

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