What is the integral from 2 to 10 of u(x) ?

The integral from 2 to 10 of u(x) is u*48

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integral from 2 to 10 of u(x)

\int_{2}^{10} u (x) d x

u \cdot 48

Solution steps

\int_{2}^{10} ux d x

Take the constant out:

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

= u \cdot \int_{2}^{10} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{2}^{10}

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

Compute the boundaries:

48

= u \cdot 48

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What is the integral from 2 to 10 of u(x) ?
The integral from 2 to 10 of u(x) is u*48