calc help again

Question

-1

455

3

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.

Guest Jan 6, 2021

Melody · Answer 1 · 2021-01-12T07:24:58

Where is your original question ?

Please include a link to it.

Melody · Answer 2 · 2021-01-14T11:55:39

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.