What is the integral from 0 to 0.02 of 200x ?

The integral from 0 to 0.02 of 200x is 0.04

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integral from 0 to 0.02 of 200x

\int_{0}^{0.02} 200 x d x

0.04

Solution steps

\int_{0}^{0.02} 200 x d x

Take the constant out:

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

= 200 \cdot \int_{0}^{0.02} x d x

Apply the Power Rule

= 200 [\frac{x ^{2}}{2}]_{0}^{0.02}

Simplify

= 200 [0.5 x^{2}]_{0}^{0.02}

Compute the boundaries:

0.0002

= 200 \cdot 0.0002

Simplify

= 0.04

What is the integral from 0 to 0.02 of 200x ?
The integral from 0 to 0.02 of 200x is 0.04