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Popular >

integral from 0 to 2 of r^3

Solution

\int_{0}^{2} r^{3} d r

Solution

4

Solution steps

\int_{0}^{2} r^{3} d r

Apply the Power Rule

: [\frac{r ^{4}}{4}]_{0}^{2}

= [\frac{r ^{4}}{4}]_{0}^{2}

Compute the boundaries:

4

= 4

Popular Examples

integral from 0 to infinity of sin(7x)

\int_{0}^{\infty} sin (7 x) d x

integral of-3/2 x^2+3x^4-2

\int - \frac{3}{2} x^{2} + 3 x^{4} - 2 d x

derivative of 1/2 sec(x-1/3 csc(x))

\frac{d}{d x} (\frac{1}{2} sec (x) - \frac{1}{3} csc (x))

integral of 2/3 sqrt(x)

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

derivative of 14x

\frac{d}{d x} (14 x)

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of r^3 ?
The integral from 0 to 2 of r^3 is 4