What is f(x) = int x^3-2x+e^x dx if f(2) = 5 ? Calculus Techniques of Integration Evaluating the Constant of Integration 1 Answer Leland Adriano Alejandro Jan 16, 2016 f(x)=x^4/4-x^2+e^x-e^2+5 Explanation: f(x)=int (x^3-2x+e^x) dx+C f(x)=x^4/4-x^2+e^x+C f(2)=5=2^4/4-2^2+e^2+C first equation 5=4-4+e^2+C C=5-e^2 therefore from the first equation f(x)=x^4/4-x^2+e^x-e^2+5 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 1165 views around the world You can reuse this answer Creative Commons License