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Math Help - Exponential integration

  1. #1
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    Exponential integration

    Hi, I need help on this problem

    Determine all constants a and b such that e^x = b + int_{a, x} e^t dt.
    (Thats the integral from a to x)


    Thank you
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  2. #2
    Super Member

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    Hello, lds09!

    Determine all constants a and b such that:
    . . . . . . . . . . . . x
    . . e^x . = . b + ∫ e^t dt
    . . . . . . . . . . . .a

    . . . . . . . . . . . . . . x
    We have: .b + e^t ] .= .e^x
    . . . . . . . . . . . . . . a

    Then: .b + e^x - e^a .= .e^x . . . . b - e^a .= .0 . . . . b .= .e^a


    Therefore, a can be any real number and b = e^a.

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