What is the integral from 2 to 4 of 5x ?

The integral from 2 to 4 of 5x is 30

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integral from 2 to 4 of 5x

\int_{2}^{4} 5 x d x

30

Solution steps

\int_{2}^{4} 5 x d x

Take the constant out:

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

= 5 \cdot \int_{2}^{4} x d x

Apply the Power Rule

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

= 5 [\frac{x ^{2}}{2}]_{2}^{4}

Compute the boundaries:

6

= 5 \cdot 6

Simplify

= 30

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