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calc help again

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Let

$f(t) = \int_0^t (x - 7)(x - 4)(x + 1)(e^x - 1) \left( \arctan (x) - \frac{\pi}{3} \right) \: dx.$

Find all values of t where f(t) has a local minimum at t

Sorry, I put this question again, but the answer was in decimals but i need it in simplifed.

Jan 6, 2021

#2
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Where is your original question ?

Jan 12, 2021
#3
+112031
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Maxima and minima occur when the first derivative, (which is the gradient) is 0

So what is the first derivative of f(t)    ?

Hint:  what is the opposite of integration?

Here is a graph that you might find useful.

https://www.desmos.com/calculator/ku32fssw2e

Jan 14, 2021
edited by Melody  Jan 14, 2021