+0  
 
+1
55
14
avatar+67 

So yeah this is it, idk where to start

 Jan 30, 2021
 #1
avatar+112523 
+1

 

 

If you differentiate g(x)  with respect to x, what do you get?

 

Please answer, it is a simple question.

 Jan 30, 2021
edited by Melody  Jan 30, 2021
 #2
avatar
0

This sounds like a fun game!

Guest Jan 30, 2021
 #3
avatar+67 
0

g'(x) 

SpaceTsunaml  Jan 30, 2021
 #4
avatar+112523 
0

Right so if you integrate g'(x) what do you get?

Melody  Jan 30, 2021
 #5
avatar+67 
0

I understand its finding the area between 2 and 3, and that I know that the points are (2,4), and (3,5), so would the area be 4.5? then -1 so 3.5?

SpaceTsunaml  Jan 30, 2021
 #6
avatar+112523 
0

please just answer my question

Melody  Jan 30, 2021
 #7
avatar+67 
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g(x) lol, I feel like im overthinking a lot

SpaceTsunaml  Jan 30, 2021
 #8
avatar+112523 
0

Yes you probably are,

Can you answer now or do you want me to keep going?

 

Actually the integral of  g'(x) is g(x) plus c  but since this is a definite integral you do not need to worry about the c. (it cancels out)

Melody  Jan 30, 2021
edited by Melody  Jan 30, 2021
 #9
avatar+67 
0

Keep going sorry, I already thought of this but my sleep deprived mind has been doing too many of the "Find the volume of a solid by rotating said 2d function around an axis too cope with a simple 3 point problem apparently.

SpaceTsunaml  Jan 30, 2021
 #10
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0

yeah I almost put g(x) + C but thought of that lol

SpaceTsunaml  Jan 30, 2021
 #11
avatar+112523 
+1

\(\displaystyle \int_2^3(g'(x)-1)dx\\~\\ =\displaystyle \int_2^3(g'(x))dx+\displaystyle \int_2^3(-1)dx\\~\\ =\displaystyle \left[ g(x) \right]_2^3+\displaystyle \left[ -x \right]_2^3\)

 

 

 

you should be able to finish it from there.  Tell me what you get.

 Jan 30, 2021
 #12
avatar+67 
0

oh my god, wait it would just be (5-4)-(3-2) right, so just 0? 

SpaceTsunaml  Jan 30, 2021
edited by SpaceTsunaml  Jan 30, 2021
 #13
avatar+112523 
+1

Yes that is right.  (sorry about the confusion) 

Melody  Jan 30, 2021
edited by Melody  Jan 30, 2021
edited by Melody  Jan 30, 2021
 #14
avatar+67 
+1

ahhhh, okay well my thought process was integral means the g(3) - g(2) + (-3+2). Is this wrong? 

 

oh okayyy you had me freaked out for a sec LOL

SpaceTsunaml  Jan 30, 2021
edited by SpaceTsunaml  Jan 30, 2021

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