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 4460 views around the world You can reuse this answer Creative Commons License