What is the integral from 0 to 2 of 5x^9 ?

The integral from 0 to 2 of 5x^9 is 512

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integral from 0 to 2 of 5x^9

\int_{0}^{2} 5 x^{9} d x

512

Solution steps

\int_{0}^{2} 5 x^{9} d x

Take the constant out:

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

= 5 \cdot \int_{0}^{2} x^{9} d x

Apply the Power Rule

: [\frac{x ^{10}}{10}]_{0}^{2}

= 5 [\frac{x ^{10}}{10}]_{0}^{2}

Compute the boundaries:

\frac{512}{5}

= 5 \cdot \frac{512}{5}

Simplify

= 512

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What is the integral from 0 to 2 of 5x^9 ?
The integral from 0 to 2 of 5x^9 is 512