How do you find the antiderivative of (e^-2x)^2? Calculus Introduction to Integration Integrals of Exponential Functions 1 Answer Ratnaker Mehta Feb 3, 2017 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. Answer link Related questions How do you evaluate the integral inte^(4x) dx? How do you evaluate the integral inte^(-x) dx? How do you evaluate the integral int3^(x) dx? How do you evaluate the integral int3e^(x)-5e^(2x) dx? How do you evaluate the integral int10^(-x) dx? What is the integral of e^(x^3)? What is the integral of e^(0.5x)? What is the integral of e^(2x)? What is the integral of e^(7x)? What is the integral of 2e^(2x)? See all questions in Integrals of Exponential Functions Impact of this question 1637 views around the world You can reuse this answer Creative Commons License