What is #f(x) = int x^2-3e^(2x-1) dx# if #f(-1) = 2 #? Calculus Techniques of Integration Evaluating the Constant of Integration 1 Answer Eddie Jul 1, 2016 #= x^3/3-3/(2) e^(2x-1) +C # Explanation: #int dx qquad x^2-3e^(2x-1) # #= int dx qquad x^2-3/e e^(2x) # #= x^3/3-3/(2e) e^(2x) +C # #= x^3/3-3/(2) e^(2x-1) +C # 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 1220 views around the world You can reuse this answer Creative Commons License