Start by factoring the denominator.
That gives:
Now, can you solve for A,B,C?.
im not the biggest fan of partial fraction, doing so practice excercise to get me in the swing of things before going back to uni and have stumbled across this:
f(x) = 3
x^3 +3x^2 -10x
1) write f(x) as a sum of partial fractions
2) evaluate (intergrate f(x))
Hello, Amanda!
You seem to know the "fast" way for Partial Fractions.
(1) Write as a sum of partial fractions
(2) Find: .
I find it much easier, but many teachers don't know it
. . and others actively disapprove of it.
We have: .
Multiply through the LCD: .
Now select some "nice" values for . .(You'll see what I mean)
. . Let
. . Let
. . Let
And we have: . . (1)
Integrate: . . (2)
If you want to show-off, you can simplify further . . .