What is the integral from 0 to 2.8 of 0.2x ?

The integral from 0 to 2.8 of 0.2x is 0.784

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integral from 0 to 2.8 of 0.2x

\int_{0}^{2.8} 0.2 x d x

0.784

Solution steps

\int_{0}^{2.8} 0.2 x d x

Take the constant out:

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

= 0.2 \cdot \int_{0}^{2.8} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{0}^{2.8}

= 0.2 [\frac{x ^{2}}{2}]_{0}^{2.8}

Simplify

= 0.2 [0.5 x^{2}]_{0}^{2.8}

Compute the boundaries:

3.92

= 0.2 \cdot 3.92

Simplify

= 0.784

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What is the integral from 0 to 2.8 of 0.2x ?
The integral from 0 to 2.8 of 0.2x is 0.784