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Popular >

integral of 1/(u^p)

Solution

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

Solution

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

Solution steps

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

Apply the Power Rule

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

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

Add a constant to the solution

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

Popular Examples

integral of (x+1)(sqrt(x)+3)

\int (x + 1) (x + 3) d x

integral of 2x^{1/4}

\int 2 x^{\frac{1}{4}} d x

integral of 8t*e^{4t}

\int 8 t \cdot e^{4 t} d t

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

\int \frac{r}{( x ^{2} + r ^{2} ) ^{\frac{3}{2}}} d r

integral of 6/(xln(4x))

\int \frac{6}{x ln ( 4 x )} d x

Frequently Asked Questions (FAQ)

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