For a continuous function

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

f

, the net signed area between the graph of

f

and the

t

-axis from

t=1

t=4

6

square units, and the net signed area from

t=4

t=7

-3

square units. If

F(x)=\displaystyle\int_{1}^{x} f(t)\,dt

and

F(1)=2

, determine

F(7)