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Popular >

integral from 0 to 3 of r

Solution

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

Solution

\frac{9}{2}

+1

Solution steps

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

Apply the Power Rule

: [\frac{r ^{2}}{2}]_{0}^{3}

= [\frac{r ^{2}}{2}]_{0}^{3}

Compute the boundaries:

\frac{9}{2}

= \frac{9}{2}

Popular Examples

integral from 0 to 1 of sqrt(x/y)

\int_{0}^{1} \frac{x}{y} d x

integral from 0 to pi/2 of 2sin^2(2x)

\int_{0}^{\frac{π}{2}} 2 sin^{2} (2 x) d x

integral from 0 to 1 of re^{-r^2}

\int_{0}^{1} r e^{- r^{2}} d r

integral from 0 to pi/6 of cos(θ)sin(θ)

\int_{0}^{\frac{π}{6}} cos (θ) sin (θ) d θ

integral from 0 to x of sqrt(x^2-t^2)

\int_{0}^{x} x^{2} - t^{2} d t

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of r ?
The integral from 0 to 3 of r is 9/2