What is the integral from 0 to 0.3 of 300x ?

The integral from 0 to 0.3 of 300x is 13.5

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integral from 0 to 0.3 of 300x

\int_{0}^{0.3} 300 x d x

13.5

Solution steps

\int_{0}^{0.3} 300 x d x

Take the constant out:

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

= 300 \cdot \int_{0}^{0.3} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{0}^{0.3}

= 300 [\frac{x ^{2}}{2}]_{0}^{0.3}

Simplify

= 300 [0.5 x^{2}]_{0}^{0.3}

Compute the boundaries:

0.045

= 300 \cdot 0.045

Simplify

= 13.5

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What is the integral from 0 to 0.3 of 300x ?
The integral from 0 to 0.3 of 300x is 13.5