What is the integral from 0 to 3 of pi(x)^2 ?

The integral from 0 to 3 of pi(x)^2 is pi9

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integral from 0 to 3 of pi(x)^2

\int_{0}^{3} π (x)^{2} d x

π 9

Decimal

28.27433 \dots

Solution steps

\int_{0}^{3} π x^{2} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= π \cdot \int_{0}^{3} x^{2} d x

Apply the Power Rule

: [\frac{x ^{3}}{3}]_{0}^{3}

= π [\frac{x ^{3}}{3}]_{0}^{3}

Compute the boundaries:

9

= π 9

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What is the integral from 0 to 3 of pi(x)^2 ?
The integral from 0 to 3 of pi(x)^2 is pi9