What is the antiderivative of #(2x^4)+(4x^3)+(3x^2)+2x+4#? Calculus Introduction to Integration Integrals of Polynomial functions 1 Answer Yahia M. Apr 22, 2018 #=(2x^5)/5+x^4+x^3+x^2+4x+C# Explanation: Power Rule #color(green)(intx^n=x^(n+1)/(n+1)+C# #int(2x^4+4x^3+3x^2+2x+4)# #=(2x^5)/5+x^4+x^3+x^2+4x+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 2055 views around the world You can reuse this answer Creative Commons License