What is the integral from 0 to 0.05 of 250x ?

The integral from 0 to 0.05 of 250x is 0.3125

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integral from 0 to 0.05 of 250x

\int_{0}^{0.05} 250 x d x

0.3125

Solution steps

\int_{0}^{0.05} 250 x d x

Take the constant out:

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

= 250 \cdot \int_{0}^{0.05} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{0}^{0.05}

= 250 [\frac{x ^{2}}{2}]_{0}^{0.05}

Simplify

= 250 [0.5 x^{2}]_{0}^{0.05}

Compute the boundaries:

0.00125

= 250 \cdot 0.00125

Simplify

= 0.3125

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What is the integral from 0 to 0.05 of 250x ?
The integral from 0 to 0.05 of 250x is 0.3125