Fundamental THeoreom of Cal

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Use part I of the Fundamental Theorem of Calculus to find the derivative of

[tex]\int_x^{3} sin(x^3) dx[/tex]

F'(x)=_________________ (answer goes here)

i think i need to integrate the problem first, but it seems impossible. can someone help?
 

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  • #2
dextercioby
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Yes...Use the Fundamental Theorem of Calculus...?? :uhh:

Daniel.
 
  • #3
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you need to find the antiderivative of that function, and then do F(3) - F(x) (correct me if im wrong anyone). But yeah, i believe thats what you have to do.
 
  • #4
dextercioby
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He cannot find the antiderivative among elementary functions...Yet he can solve the exercise without knowing it.

Daniel.
 
  • #5
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yeah well, im usually Being helped instead of Helping others...so...hey i tried
 
  • #6
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dextercioby said:
He cannot find the antiderivative among elementary functions...Yet he can solve the exercise without knowing it.

Daniel.

isnt the "Fundamental Theorem of Calculus" just solving it as a regular integral? that's what i thought it was.
 
  • #7
learningphysics
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ProBasket said:
isnt the "Fundamental Theorem of Calculus" just solving it as a regular integral? that's what i thought it was.
Read your question carefully. What is the question asking you for? I believe that you've misread the question.
 
  • #8
Hurkyl
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People seem to forget that the fundamental theorem of calculus has two parts...
 
  • #9
Hurkyl
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By the way, please tell me that you copied the problem down incorrectly and it actually says:

[tex]\int_x^{3} \sin t^3 \, dt[/tex]

If not, then bear in mind that your source is using poor notation -- they used the symbol x to represent two very different things.
 
  • #10
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Hurkyl said:
By the way, please tell me that you copied the problem down incorrectly and it actually says:

[tex]\int_x^{3} \sin t^3 \, dt[/tex]

If not, then bear in mind that your source is using poor notation -- they used the symbol x to represent two very different things.

sorry, i did copied it down wrong without knowing. your right, it's [tex]\int_x^{3} \sin t^3 \, dt[/tex]


sorry about the typo
 
  • #11
cepheid
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Okay...in simplistic terms, what is the FTC saying? I.e. "the derivative of the integral of the function is....?" Answer that, and you have this question. Just review the FTC.
 

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