What is the antiderivative of #1/ x^2#? Calculus Introduction to Integration Integrals of Rational Functions 1 Answer Eddie · mason m Sep 10, 2016 # = - 1/x+C# Explanation: Use the Power Rule #int x^n dx = x^(n+1)/(n+1)+C" , where "n!=-1# here, #n = -2# #int x^(-2) dx# # = x^(-2+1)/(-2+1)+C# #=x^(-1)/(-1)+C# # = - 1/x+C# Answer link Related questions How do you integrate #(x+1)/(x^2+2x+1)#? How do you integrate #x/(1+x^4)#? How do you integrate #dx / (2sqrt(x) + 2x#? What is the integration of #1/x#? How do you integrate #(1+x)/(1-x)#? How do you integrate #(2x^3-3x^2+x+1)/(-2x+1)#? How do you find integral of #((secxtanx)/(secx-1))dx#? How do you integrate #(6x^5 -2x^4 + 3x^3 + x^2 - x-2)/x^3#? How do you integrate #((4x^2-1)^2)/x^3dx #? How do you integrate #(x+3) / sqrt(x) dx#? See all questions in Integrals of Rational Functions Impact of this question 2260 views around the world You can reuse this answer Creative Commons License