How do you find the antiderivative of x^(3/2)? Calculus Introduction to Integration Integrals of Polynomial functions 1 Answer Rajinder S. Oct 20, 2016 2/5 sqrt x^5 + c Explanation: int x^(3/2) dx = x^(3/2 + 1)/((3/2 +1) = x^(5/2)/(5/2) = 2/5x^(5/2) + c = 2/5 sqrt x^5 + 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 7739 views around the world You can reuse this answer Creative Commons License