### Home > CALC > Chapter 7 > Lesson 7.2.2 > Problem7-78

7-78.

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

Strictly Increasing. (Justify.)

$F(10)=\int_{0}^{10}f(t)dt=\text{quarter circle + triangle + trapezoid}$

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