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.

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- Jul 14th 2010, 09:29 AMpollardrho06Definite 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. - Jul 14th 2010, 09:31 AMAlso sprach Zarathustra
Yes!

- Jul 14th 2010, 09:34 AMpollardrho06
- Jul 14th 2010, 01:53 PMDefunkt
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. - Jul 14th 2010, 02:54 PMTheCoffeeMachineYes!
Integration is linear: $\displaystyle \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} $