What is the integral from 0 to 1 of 5z^4 ?

The integral from 0 to 1 of 5z^4 is 1

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integral from 0 to 1 of 5z^4

\int_{0}^{1} 5 z^{4} d z

1

Solution steps

\int_{0}^{1} 5 z^{4} d z

Take the constant out:

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

= 5 \cdot \int_{0}^{1} z^{4} d z

Apply the Power Rule

: [\frac{z ^{5}}{5}]_{0}^{1}

= 5 [\frac{z ^{5}}{5}]_{0}^{1}

Compute the boundaries:

\frac{1}{5}

= 5 \cdot \frac{1}{5}

Simplify

= 1

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What is the integral from 0 to 1 of 5z^4 ?
The integral from 0 to 1 of 5z^4 is 1