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kjp92123
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Find the definite integral using the Fundamental Theorem of Calculus.
 3 years ago
 3 years ago
kjp92123 Group Title
Find the definite integral using the Fundamental Theorem of Calculus.
 3 years ago
 3 years ago

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kjp92123 Group TitleBest ResponseYou've already chosen the best response.0
\[\int\limits_{1}^{1} e^x (4e^x) dx\]
 3 years ago

92saadz Group TitleBest ResponseYou've already chosen the best response.0
see the thing is iruno how to break this ice
 3 years ago

92saadz Group TitleBest ResponseYou've already chosen the best response.0
is exactly what i need help with
 3 years ago

kjp92123 Group TitleBest ResponseYou've already chosen the best response.0
That's e^(x) by the way And I know, I'm so lost.
 3 years ago

92saadz Group TitleBest ResponseYou've already chosen the best response.0
haha yeh this crap makes people lost in formulas man
 3 years ago

Im_Hotep55 Group TitleBest ResponseYou've already chosen the best response.0
so define the fundamental thrm of calculus; then see how that applies :)
 3 years ago

kjp92123 Group TitleBest ResponseYou've already chosen the best response.0
My real question is, I don't know where to start with this problem.
 3 years ago

Im_Hotep55 Group TitleBest ResponseYou've already chosen the best response.0
start by defining the FTC and see how it applies lol.... that is the start
 3 years ago

kjp92123 Group TitleBest ResponseYou've already chosen the best response.0
That does nothing for me.
 3 years ago

dumbcow Group TitleBest ResponseYou've already chosen the best response.0
expand it and you will get 4e^x  1
 3 years ago

math93 Group TitleBest ResponseYou've already chosen the best response.1
Yes, what dumbcow said. Then you can take the integral of each part.
 3 years ago

Im_Hotep55 Group TitleBest ResponseYou've already chosen the best response.0
FTC simply says it CAN be done; then you apply the techniques :)
 3 years ago

kjp92123 Group TitleBest ResponseYou've already chosen the best response.0
I don't know how to apply the techniques haha, that's why I'm here!
 3 years ago

Im_Hotep55 Group TitleBest ResponseYou've already chosen the best response.0
the equation editor seems to have distorted the equation ; can you verify it?
 3 years ago

kjp92123 Group TitleBest ResponseYou've already chosen the best response.0
I was given a takehome test, and I'm supposed to teach myself definite integrals and have it due tomorrow.
 3 years ago

dumbcow Group TitleBest ResponseYou've already chosen the best response.0
FTC says the definite integral = F(1)  F(1) but you have to find F(x) by taking antiderivative of f(x)
 3 years ago

kjp92123 Group TitleBest ResponseYou've already chosen the best response.0
\[\int\limits_{1}^{1} 1/(e^x) (4e^x) dx\]
 3 years ago

math93 Group TitleBest ResponseYou've already chosen the best response.1
If you integrate 4e^x, you would get 4e^x. Then, integrate 1 and you get x So then you have 4e^x  x evaluated from 1 to 1
 3 years ago

Im_Hotep55 Group TitleBest ResponseYou've already chosen the best response.0
\[\int\limits_{1}^{1} \frac{1}{e^x} (4e^x) dx\]
 3 years ago

Im_Hotep55 Group TitleBest ResponseYou've already chosen the best response.0
frac{top}{bottom} in the editor makes for fancy fractions :)
 3 years ago

Im_Hotep55 Group TitleBest ResponseYou've already chosen the best response.0
integrate {4/(e^x)  1} dx
 3 years ago

Im_Hotep55 Group TitleBest ResponseYou've already chosen the best response.0
4 (ln(e^x))  x
 3 years ago

dumbcow Group TitleBest ResponseYou've already chosen the best response.0
do what math93 said
 3 years ago

Im_Hotep55 Group TitleBest ResponseYou've already chosen the best response.0
4xx = 3x F(x) = 3x right?
 3 years ago

dumbcow Group TitleBest ResponseYou've already chosen the best response.0
no F(x) =4e^x  x
 3 years ago

Im_Hotep55 Group TitleBest ResponseYou've already chosen the best response.0
close lol
 3 years ago

math93 Group TitleBest ResponseYou've already chosen the best response.1
\[ \frac{4}{e ^{x}}x\] evaluated from 1 to 1
 3 years ago

Im_Hotep55 Group TitleBest ResponseYou've already chosen the best response.0
coulda thunked that 1/u integrates to ln(u)....
 3 years ago

Im_Hotep55 Group TitleBest ResponseYou've already chosen the best response.0
4e^x is just as good i spose :)
 3 years ago

math93 Group TitleBest ResponseYou've already chosen the best response.1
if you sub in your values, you get (4e^1  1)(4e^1+1)
 3 years ago

Im_Hotep55 Group TitleBest ResponseYou've already chosen the best response.0
i see it..... just blind in my old age
 3 years ago

kjp92123 Group TitleBest ResponseYou've already chosen the best response.0
After the values are substituted in, do I just simplify?
 3 years ago

kjp92123 Group TitleBest ResponseYou've already chosen the best response.0
So is the final answer (2)?
 3 years ago

math93 Group TitleBest ResponseYou've already chosen the best response.1
Yeah, that's what I got
 3 years ago

kjp92123 Group TitleBest ResponseYou've already chosen the best response.0
So is the answer just (2) by itself? Or is there anything on the opposite side of the equal sign?
 3 years ago

math93 Group TitleBest ResponseYou've already chosen the best response.1
the integral of the original problem = 2, so "2" is the final answer
 3 years ago

kjp92123 Group TitleBest ResponseYou've already chosen the best response.0
Alright, I appreciate the help, I'll use this one as an example to hopefully finish the rest of the problems I have, cheers!
 3 years ago

kjp92123 Group TitleBest ResponseYou've already chosen the best response.0
Thank you!!
 3 years ago
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