Question

How do you find the antiderivative of `(e^-2x)^2`?

Answer 1

`int(e^-2x)^2dx=inte^-4x^2dx=e^-4intx^2dx=e^-4(x^(2+1)/(2+1))`

`=(e^-4)/3x^3+C, or, x^3/(3e^4) +C.`