# Find the average value gave of the function g on the given interval.g(x) = 5 cos(x), − 𝜋2, 𝜋2

## Question

## Solution 1

The average value of a function on the interval [a, b] is given by the formula:

1/(b - a) * ∫ from a to b [f(x) dx]

Here, our function g(x) = 5cos(x) and the interval is [-π/2, π/2].

So, we need to find:

1/(π - (-π/2)) * ∫ from -π/2 to π/2 [5cos(x) dx]

This simplifies to:

2/π * ∫ from -π/2 to Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.

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