What is the integral from 0 to 0.2 of 5x ?

The integral from 0 to 0.2 of 5x is 0.1

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integral from 0 to 0.2 of 5x

\int_{0}^{0.2} 5 x d x

0.1

Solution steps

\int_{0}^{0.2} 5 x d x

Take the constant out:

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

= 5 \cdot \int_{0}^{0.2} x d x

Apply the Power Rule

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

= 5 [\frac{x ^{2}}{2}]_{0}^{0.2}

Simplify

= 5 [0.5 x^{2}]_{0}^{0.2}

Compute the boundaries:

0.02

= 5 \cdot 0.02

Simplify

= 0.1

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What is the integral from 0 to 0.2 of 5x ?
The integral from 0 to 0.2 of 5x is 0.1