What is the integral from 25 to 40 of 1/15 x^2 ?

The integral from 25 to 40 of 1/15 x^2 is 1075

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integral from 25 to 40 of 1/15 x^2

\int_{25}^{40} \frac{1}{15} x^{2} d x

1075

Solution steps

\int_{25}^{40} \frac{1}{15} x^{2} d x

Take the constant out:

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

= \frac{1}{15} \cdot \int_{25}^{40} x^{2} d x

Apply the Power Rule

= \frac{1}{15} [\frac{x ^{3}}{3}]_{25}^{40}

Compute the boundaries:

16125

= \frac{1}{15} \cdot 16125

Simplify

= 1075

What is the integral from 25 to 40 of 1/15 x^2 ?
The integral from 25 to 40 of 1/15 x^2 is 1075