# Math Help - antiderivatives

1. ## antiderivatives

Find the most general antiderivative of the function. Use C for any needed constant. (Check your answer by differentiation.) (x>0)

I'm having trouble with this antiderivative
I've broken it up into 6/x^7 - 3/x^5 + 2 but im having trouble finding the derivative of the first two things.

I'm sorry if this is such a simple question I should know the answer to..

2. Originally Posted by rsanford
Find the most general antiderivative of the function. Use C for any needed constant. (Check your answer by differentiation.) (x>0)

I'm having trouble with this antiderivative
I've broken it up into 6/x^7 - 3/x^5 + 2 but im having trouble finding the derivative of the first two things.

I'm sorry if this is such a simple question I should know the answer to..
$\int{\frac{6}{x^7}-\frac{3}{x^4}+2 dx}$and using general rules of integration we get $\frac{-1}{x^6}+\frac{1}{x^3}+2x+C$

3. Hello,

Transform for example 6/x^7 into 6*x^(-7)

The antiderivative for $x^n$ is $\frac{1}{n+1} x^{n+1}$, even if n is negative