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

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

whatisthequestion
 one year ago
Best ResponseYou've already chosen the best response.0I 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

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

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

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

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

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

whatisthequestion
 one year ago
Best ResponseYou've already chosen the best response.0yea 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

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

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

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

zepdrix
 one year ago
Best 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.

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

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

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

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