What is the integral from 0 to 2cos(θ) of r ?

The integral from 0 to 2cos(θ) of r is 2cos^2(θ)

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integral from 0 to 2cos(θ) of r

\int_{0}^{2 c o s (θ)} r d r

2 cos^{2} (θ)

Solution steps

\int_{0}^{2 c o s (θ)} r d r

Apply the Power Rule

= [\frac{r ^{2}}{2}]_{0}^{2 c o s (θ)}

Compute the boundaries:

2 cos^{2} (θ)

= 2 cos^{2} (θ)

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What is the integral from 0 to 2cos(θ) of r ?
The integral from 0 to 2cos(θ) of r is 2cos^2(θ)