What is the antiderivative of #x^3 -14x^2 +22x +3#? Calculus Introduction to Integration Integrals of Polynomial functions 1 Answer Ratnaker Mehta Sep 3, 2016 Knowing that, #inty^ndy=y^(n+1)/(n+1)+K, n!=-1#, we have, #int(x^3-14x^2+22x+3)dx=intx^3dx-14intx^2dx+... ... ... +3intx^0dx# #=x^4/4-14/3x^3+11x^2+3x+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 1481 views around the world You can reuse this answer Creative Commons License