Find the Average Value of f(t) = t*sqrt(1 + t^2) over [0, 5]

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Find the Average Value of f(t) = t*sqrt(1 + t^2) over [0, 5]
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I found students entering university (UK) often had trouble linking these ideas with physical reality (e.g, average lifetime of radioactive nuclei). A major problem, I think, was the high school A-level ('advanced') qualifications in recent years putting calculus exclusively in Maths and excluding it from Physics (Physics students would typically do both). Even the idea of integrating over e.g. V for volume (in thermodynamics), rather than over 'x' seemed to present a conceptual hurdle.

davidhowe

great work as usual, you are an inspiration and I would show some of your videos and book recommendations at my physics club. However I have an unrelated question, who is your favorite guitarist? I've seen you play before...

JR-ucnk

Here, aren't you finding the average value of the primitive function of f instead of f itself? That is not what is asked of us in the question though
Or am I missing something? I'm sorry if I'm being stupid

samarthaggarwal

Find the Average Value of f(t) = t*sqrt(1 + t^2) over [0, 5]

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