What is the integral from 50 to 80 of 25/3 x ?

The integral from 50 to 80 of 25/3 x is 16250

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integral from 50 to 80 of 25/3 x

\int_{50}^{80} \frac{25}{3} x d x

16250

Solution steps

\int_{50}^{80} \frac{25}{3} x d x

Take the constant out:

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

= \frac{25}{3} \cdot \int_{50}^{80} x d x

Apply the Power Rule

= \frac{25}{3} [\frac{x ^{2}}{2}]_{50}^{80}

Compute the boundaries:

1950

= \frac{25}{3} \cdot 1950

Simplify

= 16250

What is the integral from 50 to 80 of 25/3 x ?
The integral from 50 to 80 of 25/3 x is 16250