Posted by Jenna on Sunday, December 6, 2009 at 9:59pm.
Express the integrals as the sum of partial fractions and evaluate the integral:
(integral of) (x^2)dx/(x1)(x^2 +2x+1)
My work:
The above integral is equal to x^2dx/(x+1)^2
(A/x1) + (B/x+1) + (Cx+D)/(x+1)^2 = x^2
A(x+1)^2 + B(x1)(x+1) + (Cx+d)(x1) = x^2
Ax^2 + 2Ax + A + Bx^2 + Cx^2  Cx D = x^2
x^2(A+B+C) + x(2A C+D) + (ABD) = x^2
Which gives us the following equations:
A+B+C = 1
2AC+d= 0
ABD=0
The problem is once I get to this point, I get stuck. I'm not sure how to solve for A,B,C, and D.

calc II  MathMate, Monday, December 7, 2009 at 8:51am
You do not really have a problem.
There are two ways to do a partial fraction with multiple factors in the denominator, and you have combined the two.
For the multiple factor of (x+1)², you could either assume
B/(x+1)+D/(x+1)² or
(Cx+D)/(x+1)²
In your particular problem, this is the equivalent of setting C=0, and proceed to solve for A,B and D with the three equations that you have correctly set up.
Answer This Question
Related Questions
 Calc II  Perform long division on the integrand, write the proper fraction as a...
 calc  find integral using table of integrals ) integral sin^4xdx this the ...
 calculus  evaluate integral or state that it is diverges integral oo, 2 [2/(x...
 Calc  integral (x^3)/(x^22x+1) from 1 to 0 How do you get this integral? I ...
 Calc easy  Having trouble getting the correct solution. The integral of “x ...
 Calc 2  a. Integral (x^2)/(sqrt(1+(x^2))) Would I separate these two into 2 ...
 calc asap!  can you help me get started on this integral by parts? 4 S sqrt(t) ...
 Math  Let A denote the portion of the curve y = sqrt(x) that is between the ...
 Quick calc question  If f(x) and g(x) are continuous on [a, b], which one of ...
 calc  Sketch the regions represented by the following integrals and evaluate ...
More Related Questions