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Popular Calculus >

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

= 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

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Frequently Asked Questions (FAQ)

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