Definite Integral Property

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July 14th 2010, 09:29 AM
pollardrho06

Definite Integral Property

Hi all! Is the following always true for all integrable functions f(x) and g(x):

INT (a to b) ( f(x) + g(x) ) dx = INT (a to b) f(x) dx + INT (a to b) g(x) dx?

Thanks.
July 14th 2010, 09:31 AM
Also sprach Zarathustra

Yes!
July 14th 2010, 09:34 AM
pollardrho06

Quote:

Originally Posted by Also sprach Zarathustra

Yes!

Thanks bro. One more question? How do I post using Latex.

Is there a thread that teahes Latex. Thanks again.
July 14th 2010, 01:53 PM
Defunkt

http://www.mathhelpforum.com/math-help/latex-help/ has two stickies that should have mostly everything you need from LaTeX in this forum!

Good luck.
July 14th 2010, 02:54 PM
TheCoffeeMachine

Yes!

Integration is linear: $\displaystyle \int_{a}^{b}\bigg\{{p}f(x)+{q}g(x)\bigg\}\;{dx} = \int_{a}^{b}{p}f(x)\;{dx}+\int_{a}^{b}{q}g(x)\;{dx } = p\int_{a}^{b}f(x)\;{dx}+q\int_{a}^{b}g(x)\;{dx}$

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