What is the integral from 2 to 3 of g(x) ?

The integral from 2 to 3 of g(x) is (5g)/2

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integral from 2 to 3 of g(x)

\int_{2}^{3} g (x) d x

\frac{5 g}{2}

Solution steps

\int_{2}^{3} gx d x

Take the constant out:

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

= g \cdot \int_{2}^{3} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{2}^{3}

= g [\frac{x ^{2}}{2}]_{2}^{3}

Compute the boundaries:

\frac{5}{2}

= g \frac{5}{2}

Simplify

= \frac{5 g}{2}

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What is the integral from 2 to 3 of g(x) ?
The integral from 2 to 3 of g(x) is (5g)/2