What is #int 4 x^5 -7 x^4 + 9 x^3 -8 x^2 -3 x + 5 dx#? Calculus Introduction to Integration Integrals of Polynomial functions 1 Answer Leland Adriano Alejandro Jan 12, 2016 #(2/3)x^6-(7/5)x^5+(9/4)x^4-(8/3)x^3-(3/2)x^2+5x+C# Explanation: Use the power formula #int x^n# #dx#=#x^(n+1)/(n+1)# for each term of the polynomial 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 1358 views around the world You can reuse this answer Creative Commons License