Question

Calculus Help Needed
Fan + Medal

Answer 1

\[\large\rm g(x)=\int\limits_{-2}^x f(t)dt\]By the Fundamental Theorem of Calculus, Part 1, we can calculate the derivative to be\[\large\rm g'(x)=f(x)\]

Answer 2

g(x) is increasing when its first derivative is positive.
So it's increasing when f(x) is positive.

Answer 3

@zepdrix It is positive no where tho. I graphed it. and its never positive.

Answer 4

Wait. The interval would be [0,3] right?

Answer 5

How to do Number 5.? @zepdrix

Answer 6

@ganeshie8 Can you help?

Answer 7

have you plotted that function?

Answer 8

Yes

Answer 9

0 to 3, ok good.
there is somewhere else f(x) is positive also though.

Answer 10

[-3,0] ?

Answer 11

i was just thinking that you would find 5 easy if you had thought about the plot

hint

Answer 12

Good good good :)
So [-3,3]

Answer 13

Awesome, now question five, I dont understand what its asking for

Answer 14

@IrishBoy123 Would you do R(3)-R(-3)/3-(-3) ?

Answer 15

Wait no.