the first is a division problem,
int of 3x^4 + 3x^3 - 5x^2 + x - 1 / x^2 + x - 2 dx
3x + 0 - 11
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i started by dividing it and getting x^2 + x - 2 | 3x^4 + 3x^3 - 5x^2 x - 1
-(3x^4 + 3x^3 - 6x^2)
- 11x^2 + x - 1
-(-11x^2 + 11x +22)
12x + 23
i dont exactly remember long division, but thats where im a so far, do i now sub that 3x-11 thing back into the integral? what about the remainder
the second problem is
int x^3 + 3x^2 + x - 9/ (x^2 + 1)(x^2 + 3) dx
is this decomposing fractions? would it be x^3 + 3x^2 + x - 9= Ax+b/(x^2 + 3) and cx + d/(x^2 + 1)
im completely lost on this guy
the third problem, i thing i made the most progress on
int dx/ sqrt x - 4throot x
i made u= x^ 1/4
then u ^4= x
then 4u^3 du = dx
sub it all back in
int 4u^3 du/ (u^2) ^1/4 - (u^4)^1/2
i dont know where to go from here.
I really could use some help with these. Im not looking for an easy answer, just set me on the right path and ill be grateful