Question: integration with maple

please help me here:

i have :

h(x):=arctan(tan(x)*tan(x)):

how do i find:

int(h(x),x=0..Pi)

i think its value is pi^2/4

suppose if we also have

g(x):=arctan(cos(2 *x))+Pi/(4):

how do we find:

int(g(x)-h(x), x = 0 .. Pi)

thanks

 

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