How do you find the antiderivative of #f(x)=8x#? Calculus Introduction to Integration Integrals of Polynomial functions 1 Answer reudhreghs Mar 6, 2017 #4x^2 + C# Explanation: Use the standard power rule for integration, #intax^ndx = (ax^(n+1))/(n+1) + C# so #int8x^1dx = (8x^2)/2 + C = 4x^2 + C# Answer link Related questions How do you evaluate the integral #intx^3+4x^2+5 dx#? How do you evaluate the integral #int(1+x)^2 dx#? How do you evaluate the integral #int8x+3 dx#? How do you evaluate the integral #intx^10-6x^5+2x^3 dx#? What is the integral of a constant? What is the antiderivative of the distance function? What is the integral of #|x|#? What is the integral of #3x#? What is the integral of #4x^3#? What is the integral of #sqrt(1-x^2)#? See all questions in Integrals of Polynomial functions Impact of this question 2964 views around the world You can reuse this answer Creative Commons License