Let . Determine whether there exists a function satisfying both and . If such a…

MATHEMATICS · Subjective · AP · Calculus AB · Differential Equations · Differential Equations

Problem

Let

F'(x)=3x^2-4x+1

. Determine whether there exists a function

F

satisfying both

F(1)=2

and

F(2)=10

. If such a function exists, state the required constant of integration

C

; if not, state why it is impossible.