What is the integral from 0 to 40 of 0.3x ?

The integral from 0 to 40 of 0.3x is 240

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integral from 0 to 40 of 0.3x

\int_{0}^{40} 0.3 x d x

240

Solution steps

\int_{0}^{40} 0.3 x d x

Take the constant out:

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

= 0.3 \cdot \int_{0}^{40} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{0}^{40}

= 0.3 [\frac{x ^{2}}{2}]_{0}^{40}

Simplify

= 0.3 [0.5 x^{2}]_{0}^{40}

Compute the boundaries:

800

= 0.3 \cdot 800

Simplify

= 240

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What is the integral from 0 to 40 of 0.3x ?
The integral from 0 to 40 of 0.3x is 240