What is the integral from 0 to 2pi of r ?

The integral from 0 to 2pi of r is 2pi^2

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integral from 0 to 2pi of r

\int_{0}^{2 π} r d r

2 π^{2}

Decimal

19.73920 \dots

Solution steps

\int_{0}^{2 π} r d r

Apply the Power Rule

: [\frac{r ^{2}}{2}]_{0}^{2 π}

= [\frac{r ^{2}}{2}]_{0}^{2 π}

Compute the boundaries:

2 π^{2}

= 2 π^{2}

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