What is the integral from 0 to 7 of pix ?

The integral from 0 to 7 of pix is (49pi)/2

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integral from 0 to 7 of pix

\int_{0}^{7} π x d x

\frac{49 π}{2}

Decimal

76.96902 \dots

Solution steps

\int_{0}^{7} 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}^{7} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{0}^{7}

= π [\frac{x ^{2}}{2}]_{0}^{7}

Compute the boundaries:

\frac{49}{2}

= π \frac{49}{2}

Simplify

= \frac{49 π}{2}

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What is the integral from 0 to 7 of pix ?
The integral from 0 to 7 of pix is (49pi)/2