What is F(x) = int e^(x-2) +x^2 dx if F(0) = 1 ? Calculus Techniques of Integration Evaluating the Constant of Integration 1 Answer Sonnhard May 27, 2018 F(x)=e^(x-2)+x^3/3+C Explanation: We have inte^(x-2)+x^2dx=e^1(x-2)+x^3/3+C=F(x) So F(0)=1/e^2+C=1 C=1-1/e^2 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 1326 views around the world You can reuse this answer Creative Commons License