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    Integration of exponential

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    Integration of exponential:

    I am having difficulty integrating exponential. I want to compute the indefinite integral of r`(t)
    where r`(t) is the vector <3, -e(^ -t), 0>

    The first integration I have is <3t+c1, ------- c3>

    I am not sure how to integrate the -e^-t

    ------------------------------------------

    I also have a similar question in a triple integral problem

    We have:

    I from 1 to 4 ... I from 0 to 1.... and I from 0 to X (going from left to right)
    and the function we want to integrate is 2Ze^-x^2 dy dx dz

    I am having trouble working out the mechanics of this integral mainly because of the e^-x^2
    (e to the minus x^2)

    Any assistance is appreciated.

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    https://brainmass.com/math/integrals/integration-exponential-89958

    Solution Preview

    Please see the attached file.

    I am having difficulty integrating exponential. I want to compute the indefinite integral of r`(t)
    where r`(t) is the vector <3, -e(^ -t), 0> ...

    Solution Summary

    This solution is comprised of a detailed explanation to compute the indefinite integral of r`(t)
    where r`(t) is the vector <3, -e(^ -t), 0>.

    $2.49

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