How do you find the indefinite integral of int 1/(x-5)? Calculus Introduction to Integration Integrals of Rational Functions 1 Answer sjc Dec 16, 2016 int1/(x-5)dx=ln|(x-5)|+C Explanation: int(f'(x))/(f(x))dx=ln|f(x)|+C int1/(x-5)dx x!=5 d/(dx)(x-5)=1 int1/(x-5)dx=ln|(x-5)|+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 1793 views around the world You can reuse this answer Creative Commons License