What is the integral from 0 to 6 of h(x) ?

The integral from 0 to 6 of h(x) is h*18

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integral from 0 to 6 of h(x)

\int_{0}^{6} h (x) d x

h \cdot 18

Solution steps

\int_{0}^{6} h x d x

Take the constant out:

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

= h \cdot \int_{0}^{6} x d x

Apply the Power Rule

= h [\frac{x ^{2}}{2}]_{0}^{6}

Compute the boundaries:

18

= h \cdot 18

What is the integral from 0 to 6 of h(x) ?
The integral from 0 to 6 of h(x) is h*18