What is integral from 4 to 7 of f(x) ?

The answer to integral from 4 to 7 of f(x) is (33f)/2

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integral from 4 to 7 of f(x)

\int_{4}^{7} f (x) d x

\frac{33 f}{2}

Solution steps

\int_{4}^{7} f x d x

Take the constant out:

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

= f \cdot \int_{4}^{7} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{4}^{7}

= f [\frac{x ^{2}}{2}]_{4}^{7}

Compute the boundaries:

\frac{33}{2}

= f \frac{33}{2}

Simplify

= \frac{33 f}{2}

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What is integral from 4 to 7 of f(x) ?
The answer to integral from 4 to 7 of f(x) is (33f)/2