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

The integral from 1 to 4 of 5x^4 is 1023

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integral from 1 to 4 of 5x^4

\int_{1}^{4} 5 x^{4} d x

1023

Solution steps

\int_{1}^{4} 5 x^{4} d x

Take the constant out:

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

= 5 \cdot \int_{1}^{4} x^{4} d x

Apply the Power Rule

: [\frac{x ^{5}}{5}]_{1}^{4}

= 5 [\frac{x ^{5}}{5}]_{1}^{4}

Compute the boundaries:

\frac{1023}{5}

= 5 \cdot \frac{1023}{5}

Simplify

= 1023

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What is the integral from 1 to 4 of 5x^4 ?
The integral from 1 to 4 of 5x^4 is 1023