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whatisthequestion
 2 years ago
Evaluate the integral. The integral will be entered below. The title of this section is Intergration of Rational Fractions by Partial Fractions
whatisthequestion
 2 years 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
 2 years ago
Best ResponseYou've already chosen the best response.0\[\int\limits_{}^{}\frac{ x^2+2x1 }{ x^3x }dx\]

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

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

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

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

whatisthequestion
 2 years 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
 2 years 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
 2 years ago
Best ResponseYou've already chosen the best response.0first factor the function

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

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

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

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

whatisthequestion
 2 years 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
 2 years ago
Best ResponseYou've already chosen the best response.2Yah that looks right :)
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