What is the integral from 0 to 40 of 0.7x ?

The integral from 0 to 40 of 0.7x is 560

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integral from 0 to 40 of 0.7x

\int_{0}^{40} 0.7 x d x

560

Solution steps

\int_{0}^{40} 0.7 x d x

Take the constant out:

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

= 0.7 \cdot \int_{0}^{40} x d x

Apply the Power Rule

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

= 0.7 [\frac{x ^{2}}{2}]_{0}^{40}

Simplify

= 0.7 [0.5 x^{2}]_{0}^{40}

Compute the boundaries:

800

= 0.7 \cdot 800

Simplify

= 560

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What is the integral from 0 to 40 of 0.7x ?
The integral from 0 to 40 of 0.7x is 560