antiderivative of f(x) = 2/(x^3) - 3/x

[Guest]

Im having trouble finding the anti derivatives of this questions..also is there a trick to them..these take me a long time to think of the answer.

f(x)= 2/(x^3) - 3/x
I rewrote it: 2x^-3- 3x^-1
F(x)= -1x^-2 ___________

help thanks

 

[stapel]

The rewriting is fine. Now apply the Power Rule:

. . . . .For F'(x) = f(x) = axⁿ, we have:

. . . . .F(x) = (axⁿ⁺¹) / (n + 1)

...plus a constant, of course. The value of "n" does not have to be positive.

Note: The exception of course is that the antiderivative of 1/x is ln(x) (plus a constant).

Eliz.