Find the average value fave of the function f on the given interval.f(t) = esin(t) cos(t), 0, 𝜋2
Question
Solution 1
The average value of a function f(x) on the interval [a, b] is given by the formula:
fave = 1/(b - a) ∫ from a to b f(x) dx
Here, our function f(t) = e^t * sin(t) * cos(t) and the interval is [0, 𝜋/2].
So, we need to compute the integral of f(t) from 0 to 𝜋/2 and divide by the length of the inter Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study pr
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