f(x)=sqrt(sin(x)); x over the intervall [0,T]

can anyone help me to find this integral ?

Download calculation.mws

can anyone explain to me this result ?

in the book "maple by example" they said that sin(Pi/12);
sin (1/12 π)
returns sin(π/12) because it does not know a formula for the explicit value of sin(π/12). but when i'm calculated this in maple i had got , this result, what does this result mean ?

we know that the exponotial function is represented as a taylor series, that means that the exponontial of any value is approximatvly evaluated ,the same thing of sinus function when i calcute sin(Pi/6) it give me the exacte result,
 

Download trying.mws

,can anyone explain to me these results ?

 we know that  maple evaluate an expression as a tree, for example if i have the expression:

f:=x^2*exp(3/2)*sin(Pi/3-1/x);

i want to get all the tree, is there a command to obtain this !!

can anyone tell me the difference between subs and eval and  evalf ?