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Math Help - Is this integral correct?

  1. #1
    Junior Member
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    Is this integral correct?

    f (0.88 + 8.965e^-1.44V)

    = (0.88V + ((8.965e^-1.44V)/-1.44)

    and

    f(0.575+5.79e^-0.29V)

    = 0.575V + ((5.79e^-0.29V)/-0.29)
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  2. #2
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    Would anyone be able to help me quickly? It's the first one that I think is wrong.
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  3. #3
    Super Member flyingsquirrel's Avatar
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    Hello,
    Quote Originally Posted by zapparage View Post
    f (0.88 + 8.965e^-1.44V)

    = (0.88V + ((8.965e^-1.44V)/-1.44)

    and

    f(0.575+5.79e^-0.29V)

    = 0.575V + ((5.79e^-0.29V)/-0.29)
    If you're asked to compute


    \int 0.88+8.965\exp(-1.44V)\,\mathrm{d}V and \int 0.575+5.79\exp(-0.29V)\,\mathrm{d}V

    then there is only one thing which is wrong in your work: you forgot to add a constant to each result.
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  4. #4
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    As in V, or C?

    Will that matter in this:

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  5. #5
    Super Member flyingsquirrel's Avatar
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    Quote Originally Posted by zapparage View Post
    As in V, or C?
    In this case V is a variable, not a constant. For the first integral, you should have written


    \int 0.88+8.965\exp(-1.44V)\,\mathrm{d}V=0.88V-\frac{8.965}{1.44}\exp(-1.44V)+C

    where C is a constant.

    Will that matter in this:
    No it doesn't matter since you're computing a definite integral.
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