Another integral problem .. :S?

Question

int ( x-2 / x^2 +x^4 dx)

X^4 is part of the denominator ..

Answer 1

Assuming that x^4 is not in the denominator:

(x-2/x^2) simplifies to (x^-1) - (2x^-2)

Therefore, the problem becomes:

int[ x^-1 - 2x^-2 + x^4 ]

Now you can use the power rule to integrate each term:

ln(x) + 2x^-1 + (x^5)/5 + C

Answer 2

the integral of (x^-2/x^2 + x^4)dx = -x^-3/3 + x^5/5