What is the integral from 0 to 14 of 8x ?

The integral from 0 to 14 of 8x is 784

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integral from 0 to 14 of 8x

\int_{0}^{14} 8 x d x

784

Solution steps

\int_{0}^{14} 8 x d x

Take the constant out:

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

= 8 \cdot \int_{0}^{14} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{0}^{14}

= 8 [\frac{x ^{2}}{2}]_{0}^{14}

Compute the boundaries:

98

= 8 \cdot 98

Simplify

= 784

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What is the integral from 0 to 14 of 8x ?
The integral from 0 to 14 of 8x is 784