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,