SOLUTION: Please help me solve this equation: Evaluate the integral {{{ int ( 1/ (x+2x^2+x^3), dx ) }}} using the method of partial fractions.

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Question 356207: Please help me solve this equation:
Evaluate the integral using the method of partial fractions.

Answer by jrfrunner(365)   (Show Source): You can put this solution on YOUR website!
factor the denomiator
--
now set
=
this integrates into
+ constant
==
find A, B, and C by multiplying by the common denominator and setting the numerator equal to its original numerator of 1.

select 3 different values of x and solve for A, B and C
--
choose 3 convenient X values ie -1,0,1
x=0: => A=1
x=-1: => -C=1 or C=-1
you get the idea?



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