- #1

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should i just solve it as a regular integral like usally and then do F(b) - F(a)? if so, why is it called Fundamental Theorem of Calculus if it's just like a regular integral?

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- #1

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should i just solve it as a regular integral like usally and then do F(b) - F(a)? if so, why is it called Fundamental Theorem of Calculus if it's just like a regular integral?

- #2

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Is your integral

[tex] \int_{0}^{49\pi^{2}} \frac{\sin\sqrt{x}}{\sqrt{x}} dx [/tex]

??

If so,then a simple substitution will allow u to use the theorem.

Daniel.

- #3

Kane O'Donnell

Science Advisor

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(pretty useful result to have - calculating integrals from first principles would be very tedious!)

Kane

- #4

HallsofIvy

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Why is WHAT called "Fundamental Theorem of Calculus"? Certainly it's not this integral which is what your question seems to imply!

It is the "Fundamental Theorem of Calculus" that allows you to do "regular integrals".

It is the "Fundamental Theorem of Calculus" that allows you to do "regular integrals".

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