What is the integral from 2 to 5 of 8x^7 ?

The integral from 2 to 5 of 8x^7 is 390369

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integral from 2 to 5 of 8x^7

\int_{2}^{5} 8 x^{7} d x

390369

Solution steps

\int_{2}^{5} 8 x^{7} d x

Take the constant out:

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

= 8 \cdot \int_{2}^{5} x^{7} d x

Apply the Power Rule

= 8 [\frac{x ^{8}}{8}]_{2}^{5}

Compute the boundaries:

\frac{390369}{8}

= 8 \cdot \frac{390369}{8}

Simplify

= 390369

What is the integral from 2 to 5 of 8x^7 ?
The integral from 2 to 5 of 8x^7 is 390369