July 14th, 2017, 07:29 AM  #1 
Newbie Joined: Jul 2017 From: Stuttgart, Germany Posts: 1 Thanks: 0  split multiplication in integral
Hi, I've got an equation that looks like this: $\displaystyle G = \int_0^X 4\pi (g1) r^2 \left( 1\frac{3r}{4R} + \frac{3r^3}{16R^3} \right) dr $ Now I would like to separate this integral into $\displaystyle G = \int_0^X 4\pi (g1) r^2 dr + Y $ or $\displaystyle G = \int_0^X 4\pi (g1) r^2 dr * Y $ where Y does not contain g. Is this possible? Last edited by skipjack; July 14th, 2017 at 10:03 AM. 
July 14th, 2017, 10:08 AM  #2  
Senior Member Joined: Sep 2015 From: USA Posts: 2,009 Thanks: 1042  Quote:
$\displaystyle G = \int_0^X 4\pi (g1) r^2 \left( 1\frac{3r}{4R} + \frac{3r^3}{16R^3} \right) dr =\dfrac{\pi (g1) X^3 \left(32 R^318 R^2 X+3 X^3\right)}{24 R^3} $  
July 14th, 2017, 01:08 PM  #3 
Global Moderator Joined: May 2007 Posts: 6,540 Thanks: 591 
Does g depend on r? If not, direct integration (romsek) works. If g depends on r, what you want is unlikely.


Tags 
integral, integration, multiplication, product, split 
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