How do you find the antiderivative of x^(3/2)x32? Calculus Introduction to Integration Integrals of Polynomial functions 1 Answer Rajinder S. Oct 20, 2016 2/5 sqrt x^525√x5 + c Explanation: int x^(3/2) dx∫x32dx = x^(3/2 + 1)/((3/2 +1)x32+1(32+1) = x^(5/2)/(5/2)x5252 = 2/5x^(5/2) + c25x52+c = 2/5 sqrt x^5 25√x5 + c Answer link Related questions How do you evaluate the integral intx^3+4x^2+5 dx∫x3+4x2+5dx? How do you evaluate the integral int(1+x)^2 dx∫(1+x)2dx? How do you evaluate the integral int8x+3 dx∫8x+3dx? How do you evaluate the integral intx^10-6x^5+2x^3 dx∫x10−6x5+2x3dx? What is the integral of a constant? What is the antiderivative of the distance function? What is the integral of |x||x|? What is the integral of 3x3x? What is the integral of 4x^34x3? What is the integral of sqrt(1-x^2)√1−x2? See all questions in Integrals of Polynomial functions Impact of this question 7740 views around the world You can reuse this answer Creative Commons License