### Home > CALC > Chapter 7 > Lesson 7.2.2 > Problem 7-78

7-78.

for the function *f*(*t*) graphed at right. Homework Help ✎When is

*F*(*x*) at a maximum on [0, 15]?Is

*F*(*x*) increasing or decreasing or both on [0, 8]?Find

*F*(4),*F*(10), and*F*(15).List the interval(s) on [0, 15] for which

*F*″(*x*) > 0.

An integral represents the area under a curve. At which point is there the largest area?

Strictly Increasing. (Justify.)

Since *F* '(*x*) = *f*(x),*F* ''(*x*) = *f* '(*x*).