What is #f(x) = int x-sinx dx# if #f(pi/3) = -6 #? Calculus Techniques of Integration Evaluating the Constant of Integration 1 Answer A. S. Adikesavan Apr 13, 2016 #f(x)=x^2/2+cos x-13/2-pi^2/18# Explanation: Integrating, #f(x)=x^2/2+cos x+C#. #f(pi/3)=pi^2/18+1/2+C=-6# #C=-13/2-pi^2/18# Answer link Related questions How do you find the constant of integration for #intf'(x)dx# if #f(2)=1#? What is a line integral? What is #f(x) = int x^3-x# if #f(2)=4 #? What is #f(x) = int x^2+x-3# if #f(2)=3 #? What is #f(x) = int xe^x# if #f(2)=3 #? What is #f(x) = int x - 3 # if #f(2)=3 #? What is #f(x) = int x^2 - 3x # if #f(2)=1 #? What is #f(x) = int 1/x # if #f(2)=1 #? What is #f(x) = int 1/(x+3) # if #f(2)=1 #? What is #f(x) = int 1/(x^2+3) # if #f(2)=1 #? See all questions in Evaluating the Constant of Integration Impact of this question 1288 views around the world You can reuse this answer Creative Commons License