What is the integral from 1 to 5 of 6250pix ?

The integral from 1 to 5 of 6250pix is 75000pi

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integral from 1 to 5 of 6250pix

\int_{1}^{5} 6250 π x d x

75000 π

Decimal

235619.44901 \dots

Solution steps

\int_{1}^{5} 6250 π x d x

Take the constant out:

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

= 6250 π \cdot \int_{1}^{5} x d x

Apply the Power Rule

= 6250 π [\frac{x ^{2}}{2}]_{1}^{5}

Compute the boundaries:

12

= 6250 π 12

Simplify

= 75000 π

What is the integral from 1 to 5 of 6250pix ?
The integral from 1 to 5 of 6250pix is 75000pi