What is the integral from 2 to 5 of (x^4)/(25) ?

The integral from 2 to 5 of (x^4)/(25) is 3093/125

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integral from 2 to 5 of (x^4)/(25)

\int_{2}^{5} \frac{x ^{4}}{25} d x

\frac{3093}{125}

Decimal

24.744

Solution steps

\int_{2}^{5} \frac{x ^{4}}{25} d x

Take the constant out:

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

= \frac{1}{25} \cdot \int_{2}^{5} x^{4} d x

Apply the Power Rule

: [\frac{x ^{5}}{5}]_{2}^{5}

= \frac{1}{25} [\frac{x ^{5}}{5}]_{2}^{5}

Compute the boundaries:

\frac{3093}{5}

= \frac{1}{25} \cdot \frac{3093}{5}

Simplify

= \frac{3093}{125}

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What is the integral from 2 to 5 of (x^4)/(25) ?
The integral from 2 to 5 of (x^4)/(25) is 3093/125