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Popular >

integral of 1/(x^α)

Solution

\int \frac{1}{x ^{α}} d x

Solution

\frac{x ^{- α + 1}}{- α + 1} + C

Solution steps

\int \frac{1}{x ^{α}} d x

Apply the Power Rule

: \frac{x ^{- α + 1}}{- α + 1}

= \frac{x ^{- α + 1}}{- α + 1}

Add a constant to the solution

= \frac{x ^{- α + 1}}{- α + 1} + C

Popular Examples

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\int \frac{sin ( ln ( t ) )}{t} d t

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\int \frac{3}{4} x^{\frac{4}{3}} d x

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\int 56 x^{- \frac{1}{5}} tan (x^{\frac{4}{5}}) d x

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\int (4 x^{3} + 3) (2 x^{4} + 6 x)^{\frac{1}{3}} d x

integral of xlx

\int x l x d x

Frequently Asked Questions (FAQ)

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