What is the integral from 4 to 8 of 6x ?

The integral from 4 to 8 of 6x is 144

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integral from 4 to 8 of 6x

\int_{4}^{8} 6 x d x

144

Solution steps

\int_{4}^{8} 6 x d x

Take the constant out:

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

= 6 \cdot \int_{4}^{8} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{4}^{8}

= 6 [\frac{x ^{2}}{2}]_{4}^{8}

Compute the boundaries:

24

= 6 \cdot 24

Simplify

= 144

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