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    Integration as the limit of a sum

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    Find the integral by the method of summation the values of :-
    (a) integral of e^(-x) where the range of integration is from a to b.
    (b) integral of e^(kx) where the range of integration is from a to b.

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    Integration as the limit of a sum

    Written by :- Thokchom Sarojkumar Sinha

    Find the integral by the method of summation the values of :-

    b b
    (a) ∫ e-x dx (b) ∫ ekx dx
    a a

    b n-1
    Solution :- ∫ e-x dx = Lt h ∑ e-(a + rh) , where nh = b - a
    a h→0 r = 0

    = Lt h [ e-a + e-(a+h) + e-(a+2h) + ........+ e-{a+(n-1)h}]
    h→0

    ...

    Solution Summary

    This solution is comprised of a detailed explanation for finding the integral by the method of summation the values.
    It contains step-by-step explanation for finding the integral by the method of summation the values of :-

    (a) integral of e^(-x) where the range of integration is from a to b.
    (b) integral of e^(kx) where the range of integration is from a to b.

    Solution contains detailed step-by-step explanation.

    $2.19

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