What is the integral from 0 to 2 of pi^8x ?

The integral from 0 to 2 of pi^8x is pi^8*2

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integral from 0 to 2 of pi^8x

\int_{0}^{2} π^{8} x d x

π^{8} \cdot 2

Decimal

18977.06203 \dots

Solution steps

\int_{0}^{2} π^{8} x d x

Take the constant out:

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

= π^{8} \cdot \int_{0}^{2} x d x

Apply the Power Rule

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

= π^{8} [\frac{x ^{2}}{2}]_{0}^{2}

Compute the boundaries:

2

= π^{8} \cdot 2

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What is the integral from 0 to 2 of pi^8x ?
The integral from 0 to 2 of pi^8x is pi^8*2