If f(x) is a continuous function that achieves a maximum value of 5 and a minimum value of -2 on the interval between x=1 and x=3., then, for

$$\Huge F=\int\limits_{1}^{3}f(x)dx$$

possible values of F are

Question

If f(x) is a continuous function that achieves a maximum value of 5 and a minimum value of -2 on the interval between x=1 and x=3., then, for

$$\Huge F=\int\limits_{1}^{3}f(x)dx$$

possible values of F are

anonymous · Answer

-4 < F < 10

 -6 < F < 15

 -14 < F < 14

 -4 < F < 6

 none of these

anonymous · Answer

@mathmale

anonymous · Answer

@theEric

theeric · Answer

Haha, I'm braindead. I'm trying to think if I can figure out where to start!!

anonymous · Answer

I have 30 mins to tunr it in so take your time...but not too much lol

anonymous · Answer

turn

theeric · Answer

Are there any theorems you've learned recently?

anonymous · Answer

FTC and 2nd FTC , this is a test for chapter 4 which is just the basic intro to integration

anonymous · Answer

I recently learned about Solids of Revolution x)

theeric · Answer

Haha, I think I figured it out :)

theeric · Answer

Solids of Revolution. Sounds like a book!
But this wouldn't be revolving solids!

So, why don't you start by drawing any sort of function $f(x)$ as described in the problem, just to get your mind going. Let me know when you're done with that.

theeric · Answer

Or I could be torturous and MAKE a theorem.

anonymous · Answer

that is the largest integral i have ever seen

theeric · Answer

Haha :)

theeric · Answer

It's big stuff!

theeric · Answer

@doulikepiecauseidont

anonymous · Answer

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