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Popular >

integral of 1/(x^y)

Solution

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

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 (7sec(x)-cos(x))^2

\int (7 sec (x) - cos (x))^{2} d x

integral of ((e^{8x}+1))/(e^{7x)}

\int \frac{( e ^{8 x} + 1 )}{e ^{7 x}} d x

derivative of e^{-1/(x^4})

\frac{d}{d x} (e^{- \frac{1}{x ^{4}}})

derivative of (sin(cos(2x))^2)

\frac{d}{d x} ((sin (cos (2 x)))^{2})

d/(dt)(sqrt(20-25sin^2(t)))

\frac{d}{d t} (20 - 25 sin^{2} (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