What is the integral from 0 to 4 of pix ?

The integral from 0 to 4 of pix is pi8

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integral from 0 to 4 of pix

\int_{0}^{4} π x d x

π 8

Decimal

25.13274 \dots

Solution steps

\int_{0}^{4} π x d x

Take the constant out:

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

= π \cdot \int_{0}^{4} x d x

Apply the Power Rule

= π [\frac{x ^{2}}{2}]_{0}^{4}

Compute the boundaries:

8

= π 8

What is the integral from 0 to 4 of pix ?
The integral from 0 to 4 of pix is pi8