What is #f(x) = int -x^3+x-4 dx# if #f(2) = -3 #?
1 Answer
Jul 25, 2017
Use the power rule to integrate.
# = -x^4/4+x^2/2-4x+C# #" "# (item 1)
Find
#-4+2-8+C=-3#
# - 10 +C = -3#
# C = 7# #" "# (item 2)
Combining items (1) and (2), we finish with