What is the integral from 0 to 5 of 75x^4 ?

The integral from 0 to 5 of 75x^4 is 46875

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integral from 0 to 5 of 75x^4

\int_{0}^{5} 75 x^{4} d x

46875

Solution steps

\int_{0}^{5} 75 x^{4} d x

Take the constant out:

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

= 75 \cdot \int_{0}^{5} x^{4} d x

Apply the Power Rule

: [\frac{x ^{5}}{5}]_{0}^{5}

= 75 [\frac{x ^{5}}{5}]_{0}^{5}

Compute the boundaries:

625

= 75 \cdot 625

Simplify

= 46875

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What is the integral from 0 to 5 of 75x^4 ?
The integral from 0 to 5 of 75x^4 is 46875