- #1
zooboodoo
- 29
- 0
Homework Statement
Integral(sinx(x)dx/(cos^2(x)+cos(x)-2)
Homework Equations
The Attempt at a Solution
What I tried to do first was factor the denominator, so i got (cos(x)-1)(cos(x)+2)
from there, I set up my partial fractions equation trying to solve B(cos(x)-1) + A(cos(x)+2) = sin(x)
at this point i tried plugging in 0 for x -> A(0) + B(3) = 0 ? i didn't feel good about this, after working through the remainder using this i solved for A=0 and B=(-1), which left me with
integral( -dx/(cos(x)+2), at this point I thought there may have been a 1/2 / double angle formula that I could use to try to simplify the equation; cosx^2 = 1+cos2x / 2, however I havn't felt good about the solving for A=0 and losing a term? any insight would be great, thanks