Incorrect Sign In Trigonometric Integral Problem

1. The problem statement, all variables and given/known data
I am integrating [itex]sin(x)^3cos(x)^3[/itex], I know the technique (I hope) and I get the right equation at the end. But if I ask wolfram alpha what the integral of the equation is and enter 0 into wolfram's answer and also enter 0 into my answer, the answers come out different.

If I change the sign of my first term to negative, the answers come out the same.

So essentially I am getting:

[itex]{(cos(x))^6\over 6} - {(cos(x))^4\over 4}[/itex]

While according to Wolfram Alpha I should be getting:

[itex]-{(cos(x))^6\over 6} - {(cos(x))^4\over 4}[/itex]


Where am I going wrong?

3. The attempt at a solution

 

Ahh... of course, I forgot the C :)

Thank you!