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Find the definite integral using the Fundamental Theorem of Calculus.
 2 years ago
 2 years ago
Find the definite integral using the Fundamental Theorem of Calculus.
 2 years ago
 2 years ago

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kjp92123Best ResponseYou've already chosen the best response.0
\[\int\limits_{1}^{1} e^x (4e^x) dx\]
 2 years ago

92saadzBest ResponseYou've already chosen the best response.0
see the thing is iruno how to break this ice
 2 years ago

92saadzBest ResponseYou've already chosen the best response.0
is exactly what i need help with
 2 years ago

kjp92123Best ResponseYou've already chosen the best response.0
That's e^(x) by the way And I know, I'm so lost.
 2 years ago

92saadzBest ResponseYou've already chosen the best response.0
haha yeh this crap makes people lost in formulas man
 2 years ago

Im_Hotep55Best ResponseYou've already chosen the best response.0
so define the fundamental thrm of calculus; then see how that applies :)
 2 years ago

kjp92123Best ResponseYou've already chosen the best response.0
My real question is, I don't know where to start with this problem.
 2 years ago

Im_Hotep55Best ResponseYou've already chosen the best response.0
start by defining the FTC and see how it applies lol.... that is the start
 2 years ago

kjp92123Best ResponseYou've already chosen the best response.0
That does nothing for me.
 2 years ago

dumbcowBest ResponseYou've already chosen the best response.0
expand it and you will get 4e^x  1
 2 years ago

math93Best ResponseYou've already chosen the best response.1
Yes, what dumbcow said. Then you can take the integral of each part.
 2 years ago

Im_Hotep55Best ResponseYou've already chosen the best response.0
FTC simply says it CAN be done; then you apply the techniques :)
 2 years ago

kjp92123Best ResponseYou've already chosen the best response.0
I don't know how to apply the techniques haha, that's why I'm here!
 2 years ago

Im_Hotep55Best ResponseYou've already chosen the best response.0
the equation editor seems to have distorted the equation ; can you verify it?
 2 years ago

kjp92123Best 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.
 2 years ago

dumbcowBest 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)
 2 years ago

kjp92123Best ResponseYou've already chosen the best response.0
\[\int\limits_{1}^{1} 1/(e^x) (4e^x) dx\]
 2 years ago

math93Best 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
 2 years ago

Im_Hotep55Best ResponseYou've already chosen the best response.0
\[\int\limits_{1}^{1} \frac{1}{e^x} (4e^x) dx\]
 2 years ago

Im_Hotep55Best ResponseYou've already chosen the best response.0
frac{top}{bottom} in the editor makes for fancy fractions :)
 2 years ago

Im_Hotep55Best ResponseYou've already chosen the best response.0
integrate {4/(e^x)  1} dx
 2 years ago

Im_Hotep55Best ResponseYou've already chosen the best response.0
4xx = 3x F(x) = 3x right?
 2 years ago

math93Best ResponseYou've already chosen the best response.1
\[ \frac{4}{e ^{x}}x\] evaluated from 1 to 1
 2 years ago

Im_Hotep55Best ResponseYou've already chosen the best response.0
coulda thunked that 1/u integrates to ln(u)....
 2 years ago

Im_Hotep55Best ResponseYou've already chosen the best response.0
4e^x is just as good i spose :)
 2 years ago

math93Best ResponseYou've already chosen the best response.1
if you sub in your values, you get (4e^1  1)(4e^1+1)
 2 years ago

Im_Hotep55Best ResponseYou've already chosen the best response.0
i see it..... just blind in my old age
 2 years ago

kjp92123Best ResponseYou've already chosen the best response.0
After the values are substituted in, do I just simplify?
 2 years ago

kjp92123Best ResponseYou've already chosen the best response.0
So is the final answer (2)?
 2 years ago

kjp92123Best 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?
 2 years ago

math93Best ResponseYou've already chosen the best response.1
the integral of the original problem = 2, so "2" is the final answer
 2 years ago

kjp92123Best 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!
 2 years ago
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