hello could u check my working for these 2 questions. i keep getting the 2nd one wrong but anyway:
1) integrate xe^(3x).dx
i got 1/3 e^(3x) (x - 1/3)
2) divide x^(4) + x^(3) - 5x^(2) - 9 by x^(2) + x - 6
did this by equating co-efficients (ax^2 + bx + c)
x^(4): 1 = a
x^(3): 1 = a + b
x^(2): -5 = -6a + b + c
x: 0 = -6b + c
no.s: -9 = -6c + r
a = 1
b = 0
c = 1
r = -3
so get (x^(2) + 1) (x^(2) + x - 6) - 3
this is so wrong and have done it 3 times! cant get the xs to cancel to get 0 x! help would be much appreciated. what am i doing wrong?