What is the integral from 0 to 1 of (x^3)/(1000) ?

The integral from 0 to 1 of (x^3)/(1000) is 1/4000

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integral from 0 to 1 of (x^3)/(1000)

\int_{0}^{1} \frac{x ^{3}}{1000} d x

\frac{1}{4000}

Decimal

0.00025

Solution steps

\int_{0}^{1} \frac{x ^{3}}{1000} d x

Take the constant out:

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

= \frac{1}{1000} \cdot \int_{0}^{1} x^{3} d x

Apply the Power Rule

= \frac{1}{1000} [\frac{x ^{4}}{4}]_{0}^{1}

Compute the boundaries:

\frac{1}{4}

= \frac{1}{1000} \cdot \frac{1}{4}

Simplify

= \frac{1}{4000}

What is the integral from 0 to 1 of (x^3)/(1000) ?
The integral from 0 to 1 of (x^3)/(1000) is 1/4000