The Fresnel Function The Fresnel function S was defined in Example 3 and graphed in Figures 7 and 8.

(a) At what values of x does this function have local maximum values?

(b) On what intervals is the function concave upward?

(c) Use a graph to solve the following equation correct to two decimal places:

EXAMPLE 3

Although a formula of the form g(x) = ∫^x_a f(t) dt may seem like a strange way of defining a function, books on physics, chemistry, and statistics are full of such functions. For instance, the Fresnel function

Figures 7

Figures 8

* sin(71/2) dt = 0.2 Jo