What is the integral from 0.1 to 0.2 of 300x ?

The integral from 0.1 to 0.2 of 300x is 4.5

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integral from 0.1 to 0.2 of 300x

\int_{0.1}^{0.2} 300 x d x

4.5

Solution steps

\int_{0.1}^{0.2} 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_{0.1}^{0.2} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{0.1}^{0.2}

= 300 [\frac{x ^{2}}{2}]_{0.1}^{0.2}

Simplify

= 300 [0.5 x^{2}]_{0.1}^{0.2}

Compute the boundaries:

0.015

= 300 \cdot 0.015

Simplify

= 4.5

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What is the integral from 0.1 to 0.2 of 300x ?
The integral from 0.1 to 0.2 of 300x is 4.5