What is the integral from 7 to 13 of 4x^5 ?

The integral from 7 to 13 of 4x^5 is 3139440

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integral from 7 to 13 of 4x^5

\int_{7}^{13} 4 x^{5} d x

3139440

Solution steps

\int_{7}^{13} 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_{7}^{13} x^{5} d x

Apply the Power Rule

: [\frac{x ^{6}}{6}]_{7}^{13}

= 4 [\frac{x ^{6}}{6}]_{7}^{13}

Compute the boundaries:

784860

= 4 \cdot 784860

Simplify

= 3139440

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What is the integral from 7 to 13 of 4x^5 ?
The integral from 7 to 13 of 4x^5 is 3139440