derivate(integrate(f(x))) <> f(x)!



Hi,

what I'm doing is:

f(x)=sin(x)^2*cos(x)^2

F(x)=integrate(f(x),x)=-1/3*cos(x)^3+2/5*cos(x)^5-1/7*cos(x)^7+C

and derivate(F(x),x) = cos(x)^6*sin(x) what is different from f(x)!

By the way, is it possible to look the differentes step of the calcul ?

Thank you for your help!

Patrick