If the minimum of the following function `f(x)` defined at ` 0 lt x lt pi/2`. `f(x) = underset(0)overset(x)int(d theta)/(cos theta) + underset(x)overset(pi/2)int (d theta)/(sin theta)` is equal to `ln(a+sqrt(b))` where a, b `in` N and b is not perfet square then find value of `(a+b)`
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