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anonymous
 5 years ago
Integral of (1/(x^3+x))dx?
anonymous
 5 years ago
Integral of (1/(x^3+x))dx?

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myininaya
 5 years ago
Best ResponseYou've already chosen the best response.3partial fractions! :)

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.3\[\frac{1}{x(x^2+1)}=\frac{A}{x}+\frac{Bx+C}{x^2+1}=\frac{A(x^2+1)+x(Bx+C)}{x(x^2+1)}\] => \[1=Ax^2+Bx^2+Cx+A\]

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.3\[=>1=A, A+B=0,C=0=>B=1\]

ash2326
 5 years ago
Best ResponseYou've already chosen the best response.1\[ \int 1/(x^3+x) dx\] \[ 1/(x^2+1)= 1/x x/(x^2+1)\]

ash2326
 5 years ago
Best ResponseYou've already chosen the best response.1integrate each term \[\int 1/x = ln x\] \[ \int x/(x^2+1)= 1/2 * ln( x^2+1)\]
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