Q15 of 394 Page 20

Evaluate the following integrals as a limit of sums:


Formula used:



where,



Here, a = 0 and b = 2


Therefore,




Let,



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




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


f(0) = e0 = 1


f(h)


= (e)h


= eh


Similarly, f(2h)


= e2h





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



Therefore,











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