#On what intervals is F increasing
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Sin(u) = 0 if u is a multiple of pi, i,e u=n×pi with n integer.
We find the solution of the equation until it become greater than 2. (Because we want for x in [0,2])
Here for n=2 the solution us greater than 2 so we can stop here
hmm
Do you have questions ?
No 😦