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Evaluate the integral. The integral will be entered below. The title of this section is Intergration of Rational Fractions by Partial Fractions
 one year ago
 one year ago
Evaluate the integral. The integral will be entered below. The title of this section is Intergration of Rational Fractions by Partial Fractions
 one year ago
 one year ago

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whatisthequestionBest ResponseYou've already chosen the best response.0
\[\int\limits_{}^{}\frac{ x^2+2x1 }{ x^3x }dx\]
 one year ago

whatisthequestionBest ResponseYou've already chosen the best response.0
I can simplify it down to \[\int\limits_{}^{}\frac{ A }{ x }+\frac{ B }{ x1 }+\frac{ C }{ x+1 }\] but get lost when solving for A, B and C
 one year ago

whatisthequestionBest ResponseYou've already chosen the best response.0
oops forgot a dx there
 one year ago

Best_MathematicianBest ResponseYou've already chosen the best response.0
do u want answer or explanation
 one year ago

whatisthequestionBest ResponseYou've already chosen the best response.0
explanation my math teacher was very confusing when going over this section (thick accent)
 one year ago

whatisthequestionBest ResponseYou've already chosen the best response.0
I probably screwed up because its three terms now instead of two
 one year ago

whatisthequestionBest ResponseYou've already chosen the best response.0
I had \[x^2+2x1=Ax+B(x1)+C(x+1)\] which is obviously wrong
 one year ago

whatisthequestionBest ResponseYou've already chosen the best response.0
yea this method is past l'Hopital's rule which I think you said you did not know earlier so it might be a little higher than your current level of math course
 one year ago

Best_MathematicianBest ResponseYou've already chosen the best response.0
first factor the function
 one year ago

whatisthequestionBest ResponseYou've already chosen the best response.0
which I did getting x(x1)(x+1) on the bottom
 one year ago

Best_MathematicianBest ResponseYou've already chosen the best response.0
yes that is true
 one year ago

zepdrixBest ResponseYou've already chosen the best response.2
\[\large \frac{x^2+2x1}{x(x1)(x+1)} \qquad =\qquad \frac{A}{x}+\frac{B}{x1}+\frac{C}{x+1}\]You should set it up like this. It looks like you're on the right track. You just didn't multiply through correctly.
 one year ago

zepdrixBest ResponseYou've already chosen the best response.2
Multiply both sides by the denominator on the left. :O
 one year ago

whatisthequestionBest ResponseYou've already chosen the best response.0
O GOD top ten list of signs I need to go to bed
 one year ago

whatisthequestionBest ResponseYou've already chosen the best response.0
so the correct answer is \[x^2+2x1=A(x+1)(x1)+Bx(x+1)+Cx(x1)\]\[=(A+B+C)X^2+(BC)XA\]\[A=1, B=1, C=1\]
 one year ago

zepdrixBest ResponseYou've already chosen the best response.2
Yah that looks right :)
 one year ago
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