Exercises 21–24 refer to V = [0, 1], with the

Chapter 6, Problem 21E

(choose chapter or problem)

Problem 21E

Exercises 21–24 refer to V = [0, 1], with the inner product given by an integral, as in Example 7.

Compute <f, g>,  where f (t ) = 1 -3t2 and g(t) = t -t3.

Reference:

For, f, g in C [a, b], set

<f, g> = f (t) g (t) dt                                        (5)

Show that (5) defines and inner product on C[a,b].