Math Help - Definite Integral Property

1. 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.

2. Yes!

3. 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.

4. 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.

5. Yes!

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