Evaluate the following integrals as a limit of sums:

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Formula used:
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where,
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Let,
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Here, f(x) = ex
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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
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Sum of n terms of a G.P. is given by,
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Therefore,

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