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Popular >

integral from 1 to 3 of r^3

Solution

\int_{1}^{3} r^{3} d r

Solution

20

Solution steps

\int_{1}^{3} r^{3} d r

Apply the Power Rule

: [\frac{r ^{4}}{4}]_{1}^{3}

= [\frac{r ^{4}}{4}]_{1}^{3}

Compute the boundaries:

20

= 20

Graph

Popular Examples

integral from-3 to 2 of (6-x^2-x)

\int_{- 3}^{2} (6 - x^{2} - x) d x

integral from e to e^2 of 1/(x*ln(x))

\int_{e}^{e^{2}} \frac{1}{x \cdot ln ( x )} d x

integral from 0 to 1 of (x^3)/4

\int_{0}^{1} \frac{x ^{3}}{4} d x

integral from 0 to 8 of 12-4\sqrt[3]{x}

\int_{0}^{8} 12 - 4 3 x d x

integral from-1 to 1 of (x^3+x)

\int_{- 1}^{1} (x^{3} + x) d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of r^3 ?
The integral from 1 to 3 of r^3 is 20