What is the integral from 0 to 300 of 11/3 x ?

The integral from 0 to 300 of 11/3 x is 165000

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integral from 0 to 300 of 11/3 x

\int_{0}^{300} \frac{11}{3} x d x

165000

Solution steps

\int_{0}^{300} \frac{11}{3} x d x

Take the constant out:

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

= \frac{11}{3} \cdot \int_{0}^{300} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{0}^{300}

= \frac{11}{3} [\frac{x ^{2}}{2}]_{0}^{300}

Compute the boundaries:

45000

= \frac{11}{3} \cdot 45000

Simplify

= 165000

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What is the integral from 0 to 300 of 11/3 x ?
The integral from 0 to 300 of 11/3 x is 165000