What is the integral from 0 to 0.1 of 600x ?

The integral from 0 to 0.1 of 600x is 3

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integral from 0 to 0.1 of 600x

\int_{0}^{0.1} 600 x d x

3

Solution steps

\int_{0}^{0.1} 600 x d x

Take the constant out:

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

= 600 \cdot \int_{0}^{0.1} x d x

Apply the Power Rule

= 600 [\frac{x ^{2}}{2}]_{0}^{0.1}

Simplify

= 600 [0.5 x^{2}]_{0}^{0.1}

Compute the boundaries:

0.005

= 600 \cdot 0.005

Simplify

= 3

What is the integral from 0 to 0.1 of 600x ?
The integral from 0 to 0.1 of 600x is 3