- #1
Aerosion
- 53
- 0
Homework Statement
integrate((x^3+72)/(x^2+6x+8))dx
Homework Equations
The Attempt at a Solution
I decided to use partial fractions method.
x^2+6x+8 factors to (x+4)(x+2)
x^3+72=A(x+2)+B(x+4)
when A=-2, 64=B(2), B=32
when B=-4, 8=A(-2), A=-4
-4*int(1/(x+4)) + 32*int(1/(x+2))
-4*ln(x+4) + 32*ln(x+2) <---ANSWR
What was wrong?