What is #f(x) = int x - 3 # if #f(2)=3 #? Calculus Techniques of Integration Evaluating the Constant of Integration 1 Answer Henry W. Oct 15, 2016 #f(x)=(x^2)/2-3x+7# Explanation: #f(x)=intx-3 dx# #=(x^2)/2-3x+c# Subbing in 2, #f(2)=((2)^2)/2-3(2)+c=2-6+c=-4+c# Since #f(2)=3#, #-4+c=3# #c=7# #:.f(x)=(x^2)/2-3x+7# 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^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 #? What is #f(x) = int 1/(x-4) # if #f(2)=1 #? See all questions in Evaluating the Constant of Integration Impact of this question 4216 views around the world You can reuse this answer Creative Commons License