Evaluate each of the following integrals as the limit of sums:
f(x) is continuous in [a,b]
here h=(b-a)/n
S=cos(a)+ cos(a+h)+ cos(a+2h)+ cos(a+3h)+…………………..+ cos(a+(n-1)h)
Putting h=(b-a)/n
As we know
Which is trigonometry formula of sin(b)-sin(a)
Final answer is sin(b)-sin(a)