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Integrating of Quotients



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Wed Apr 25, 2007 10:26 pm
order says...



Can anyone show me how to properly integrate quotients such as

(2X^4 - X^5)/64
  





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Thu Apr 26, 2007 5:11 am
Snoink says...



Split them up! Instead of thinking of he numbers as (2X^4 - X^5)/64, try thinking of them as (2X^4/64) + (-X^5)/64. It'll make your life SO much easier. :D

And just use the regular rules of integrating from that point on. The trick is just knowing that you can split them up. :D
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Thu Apr 26, 2007 5:13 am
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Griffinkeeper says...



Use the quotient rule.

(f'(x)g(x)-f(x)g'(x))/[g(x)]^2
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Thu Apr 26, 2007 5:19 am
Snoink says...



Griffinkeeper wrote:Use the quotient rule.

(f'(x)g(x)-f(x)g'(x))/[g(x)]^2


That's for differentiating though. ;)
Ubi caritas est vera, Deus ibi est.

"The mark of your ignorance is the depth of your belief in injustice and tragedy. What the caterpillar calls the end of the world, the Master calls the butterfly." ~ Richard Bach

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Thu Apr 26, 2007 8:42 am
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nymphidius says...



Factor out the 1/64 out of the integral (since it's a constant), THEN you may split them up. Just remember to multiply both split integrals by 1/64 AFTER you're done integrating.
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Thu Apr 26, 2007 11:24 pm
order says...



Alright; thanks.
  








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