What is the integral from 2 to 6 of 4x^5 ?

The integral from 2 to 6 of 4x^5 is 93184/3

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integral from 2 to 6 of 4x^5

\int_{2}^{6} 4 x^{5} d x

\frac{93184}{3}

Decimal

31061.33333 \dots

Solution steps

\int_{2}^{6} 4 x^{5} d x

Take the constant out:

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

= 4 \cdot \int_{2}^{6} x^{5} d x

Apply the Power Rule

: [\frac{x ^{6}}{6}]_{2}^{6}

= 4 [\frac{x ^{6}}{6}]_{2}^{6}

Compute the boundaries:

\frac{23296}{3}

= 4 \cdot \frac{23296}{3}

Simplify

= \frac{93184}{3}

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What is the integral from 2 to 6 of 4x^5 ?
The integral from 2 to 6 of 4x^5 is 93184/3