Integral calculus question

so i was integrating an equation and got some answer. i checked it on integrator, and got a different answer. now my question is, can one equation have two different results?

the problem: (Cos[x])^2 * Sin[2x]
http://integrals.wolfram.com/index.jsp - the website i put to get an answer.

2 (Sin[x])^2 - (Sin[x])^4 + C is what i got.

:nerd: