How do you find the antiderivative of 4/x^2? Calculus Introduction to Integration Integrals of Rational Functions 1 Answer Anees Apr 14, 2015 =-4/(x)+C Solution int4/(x^2)dx =int4x^-2dx =4intx^-2dx =4.(x^(-2+1))/(-2+1)+C =4.(x^-1)/(-1)+C =-4/(x^1)+C =-4/(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 1666 views around the world You can reuse this answer Creative Commons License