What is the integral from 1 to 5 of x/(12) ?

The integral from 1 to 5 of x/(12) is 1

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integral from 1 to 5 of x/(12)

\int_{1}^{5} \frac{x}{12} d x

1

Solution steps

\int_{1}^{5} \frac{x}{12} d x

Take the constant out:

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

= \frac{1}{12} \cdot \int_{1}^{5} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{1}^{5}

= \frac{1}{12} [\frac{x ^{2}}{2}]_{1}^{5}

Compute the boundaries:

12

= \frac{1}{12} \cdot 12

Simplify

= 1

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What is the integral from 1 to 5 of x/(12) ?
The integral from 1 to 5 of x/(12) is 1