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math

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How do you find the anti derivative of: [(e^x^2-2x)/(e^x^2)] ?

∫ [(e^x^2-2x)/(e^x^2)]

((The e^x^2 is: e raised to x squared))

if you could explain and show the steps too, thank you

  • math - ,

    ∫ [(e^x^2-2x)/(e^x^2)] dx
    = ∫ [1 - 2x/((e^x^2))] dx
    = ∫ [1 - 2x(e^(-x^2))] dx
    = x - e^(-x^2) + c

    check by differentiating

  • JOHN math - ,

    John, how did you get that integral symbol?

  • math - ,

    Hey, yeah, cool !

  • math - ,

    I can do a long one



    but it takes two lines

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