Evaluate the following integrals as a limit of sums:


Formula used:



where,




Let,



Here, f(x) = ex



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


f(a) = ea


f(a + h)


= (e)a+h


= ea+h


Similarly, f(a + 2h)


= ea+2h





Sum of n terms of a G.P. is given by,



Therefore,











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