Integrating of Quotients

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Can anyone show me how to properly integrate quotients such as

(2X^4 - X^5)/64




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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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Use the quotient rule.

(f'(x)g(x)-f(x)g'(x))/[g(x)]^2
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Griffinkeeper wrote:Use the quotient rule.

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


That's for differentiating though. ;)
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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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