What is the integral from 2 to 10 of 1/48 x ?

The integral from 2 to 10 of 1/48 x is 1

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integral from 2 to 10 of 1/48 x

\int_{2}^{10} \frac{1}{48} x d x

1

Solution steps

\int_{2}^{10} \frac{1}{48} x d x

Take the constant out:

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

= \frac{1}{48} \cdot \int_{2}^{10} x d x

Apply the Power Rule

= \frac{1}{48} [\frac{x ^{2}}{2}]_{2}^{10}

Compute the boundaries:

48

= \frac{1}{48} \cdot 48

Simplify

= 1

What is the integral from 2 to 10 of 1/48 x ?
The integral from 2 to 10 of 1/48 x is 1