Evaluate the following integrals as a limit of sums:


Formula used:



where,







Let,



Here, f(x) = sin x and a = 0




Now, by putting x = 0 in f(x) we get,


f(0) = sin 0


f(h)


= sin h


Similarly, f(2h)


= sin 2h



We know,



Here A = 0 and B = h


Therefore,





















18