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Popular >

integral of x^r

Solution

\int x^{r} d x

Solution

\frac{x ^{r + 1}}{r + 1} + C

Solution steps

\int x^{r} d x

Apply the Power Rule

: \frac{x ^{r + 1}}{r + 1}

= \frac{x ^{r + 1}}{r + 1}

Add a constant to the solution

= \frac{x ^{r + 1}}{r + 1} + C

Popular Examples

derivative of (x^2-6x+12)/(x-4)derivative of

\frac{x ^{2} - 6 x + 12}{x - 4}

y^'+y=e^{-x}sqrt(x)

y^{^{'}} + y = e^{- x} x

integral of (2x^2+7x+2)/((x^2+1)^2)

\int \frac{2 x ^{2} + 7 x + 2}{( x ^{2} + 1 ) ^{2}} d x

derivative of 3x^{2/3}-x

\frac{d}{d x} (3 x^{\frac{2}{3}} - x)

derivative of (2x+1^{-1})

\frac{d}{d x} ((2 x + 1)^{- 1})

Frequently Asked Questions (FAQ)

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