What is integral from-2 to 3 of f(x) ?

The answer to integral from-2 to 3 of f(x) is (5f)/2

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integral from-2 to 3 of f(x)

\int_{- 2}^{3} f (x) d x

\frac{5 f}{2}

Solution steps

\int_{- 2}^{3} 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_{- 2}^{3} x d x

Apply the Power Rule

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

Compute the boundaries:

\frac{5}{2}

= f \frac{5}{2}

Simplify

= \frac{5 f}{2}

What is integral from-2 to 3 of f(x) ?
The answer to integral from-2 to 3 of f(x) is (5f)/2