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

4 answers

∫ [(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, how did you get that integral symbol?
Hey, yeah, cool !
I can do a long one



but it takes two lines