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Popular Calculus >

integral of 4pir^2

Solution

\int 4 π r^{2} d r

Solution

\frac{4 π r ^{3}}{3} + C

Solution steps

\int 4 π r^{2} d r

Take the constant out:

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

= 4 π \cdot \int r^{2} d r

Apply the Power Rule

= 4 π \frac{r ^{3}}{3}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{4 π r ^{3}}{3}

Add a constant to the solution

= \frac{4 π r ^{3}}{3} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 4pir^2 ?
The integral of 4pir^2 is (4pir^3)/3+C