calc ab question | Mathematics | Page 1

raw talon Mar 23, 2024, 4:48 AM

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for this problem I just don’t know how to do it correctly??? because the answer I got doesn’t go with any of the options given. Please let me know what I did wrong

real bronzeBOT Mar 23, 2024, 4:48 AM

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raw talon for this problem I just don’t know how to do it correctly??? because the answer ...

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stoic crypt Mar 23, 2024, 4:51 AM

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You should split up the domain of integration into [-1, 2) and [2, 4] and consider them separately

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The primitive function (or antiderivative) you wrote doesn't apply to [2, 4]

raw talon Mar 23, 2024, 4:53 AM

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stoic crypt The primitive function (or antiderivative) you wrote doesn't apply to [2, 4]

Why does it not apply may i ask

stoic crypt Mar 23, 2024, 4:54 AM

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Try graphing f

raw talon Mar 23, 2024, 5:00 AM

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stoic crypt Try graphing f

is it because there is a hole in the graph

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Jump I mean not hole

glad grove Mar 23, 2024, 5:06 AM

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raw talon for this problem I just don’t know how to do it correctly??? because the answer ...

Bro the function is different in both interval

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So spit it

raw talon Mar 23, 2024, 5:09 AM

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Ok

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wait would the antiderivative be (f(x))^2/2

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I basically went back to where i started ??

serene flower Mar 23, 2024, 5:37 AM

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what

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the antiderivative of x and the antiderivative of 3

serene flower Mar 23, 2024, 5:38 AM

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raw talon I basically went back to where i started ??

well no not really

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if you thought the whole thing was x^2/2

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you miss out on the part thats just 3

raw talon Mar 23, 2024, 5:45 AM

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serene flower you miss out on the part thats just 3

What do you mean by just 3

serene flower Mar 23, 2024, 5:45 AM

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raw talon Mar 23, 2024, 5:45 AM

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LOL its ok

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Wait so i dont do the x^2/2 so it would be like 3-(-1)^2/2

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ok nvm im completely lost

raw talon Mar 23, 2024, 6:01 AM

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serene flower

so for example the integral between 2 to 4 would that become (3 - 3)

serene flower Mar 23, 2024, 6:01 AM

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whats the antiderivative of 3

raw talon Mar 23, 2024, 6:01 AM

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3x

serene flower Mar 23, 2024, 6:02 AM

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yea

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so you want to integrate that

raw talon Mar 23, 2024, 6:02 AM

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serene flower whats the antiderivative of 3

So im not supposed to do the (f(x))^2/2 thing but instead plug in the numbers directly

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Oops repliedto wrong thing

serene flower Mar 23, 2024, 6:03 AM

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uh

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no you need to do both integrals

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remember you split it into two

raw talon Mar 23, 2024, 6:04 AM

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serene flower remember you split it into two

ok so ig the partim lost at is that i dont know how to integrate those parts

serene flower Mar 23, 2024, 6:05 AM

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just treat it like two separate integrals

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find their values

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and add them together

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simple!

raw talon Mar 23, 2024, 6:05 AM

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3am

serene flower Mar 23, 2024, 6:07 AM

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if you wanna think about what youre doing graphically

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youre just splitting this into two areas

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and then adding them

raw talon Mar 23, 2024, 6:09 AM

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i can see it visually but it doesnt help my math work calculation stuff

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it sucks because most of the time i can visually see what the graph is supposed to look like but my answers usually come out wrong

serene flower Mar 23, 2024, 6:12 AM

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raw talon i can see it visually but it doesnt help my math work calculation stuff

okay lets get back to the inetgrals

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what do you have so far

raw talon Mar 23, 2024, 6:13 AM

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serene flower what do you have so far

this is my logic at the moment

serene flower Mar 23, 2024, 6:13 AM

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okay so
id like you to replace f(x) to what the actual equation is

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thats a good way to start

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and then take the antider

raw talon Mar 23, 2024, 6:17 AM

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serene flower okay so id like you to replace f(x) to what the actual equation is

uh lets focus on just this part so it doesn’t take too much of ur time

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Is this what you meant by replacing??

serene flower Mar 23, 2024, 6:17 AM

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okay yea so youre confused over what f(x) means

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from -1 to 2, f(x) means x and ONLY x

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ignore the 3

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and then once youre past 2

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f(x) means 3 and ONLY 3

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does that clear it up

raw talon Mar 23, 2024, 6:20 AM

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so for this part its for f(x) from 2 to 4

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And it doesnt apply to -1 to 2

serene flower Mar 23, 2024, 6:22 AM

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yes

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thats how piecewise works

raw talon Mar 23, 2024, 6:23 AM

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Hm ok i get it now

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Thank you for spending some of ur time helping me i really do appreciate it

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+close

#calc ab question