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Popular >

integral of 2pir

Solution

\int 2 π r d r

Solution

π r^{2} + C

Solution steps

\int 2 π r d r

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 2 π \cdot \int r d r

Apply the Power Rule

: \frac{r ^{2}}{2}

= 2 π \frac{r ^{2}}{2}

Simplify

2 π \frac{r ^{2}}{2} : π r^{2}

= π r^{2}

Add a constant to the solution

= π r^{2} + C

Graph

Popular Examples

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\int \frac{3 x}{x + 1} d x

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\int - x sin (x^{2}) d x

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\int \frac{cos ( ln ( x ) )}{5 x} d x

integral of (3x-2)/(x^3-x^2)

\int \frac{3 x - 2}{x ^{3} - x ^{2}} d x

integral of x*sqrt(x+2)

\int x \cdot x + 2 d x

Frequently Asked Questions (FAQ)

What is the integral of 2pir ?
The integral of 2pir is pir^2+C