Question

l

Answer 1

\[<p(x), q(x)> = \int\limits_{0}^{1} p(x)q(x)dx \]

Answer 2

so prove this ^ definition satisfies all the requirements for an inner product

Answer 3

See example 4 on
http://tutorial.math.lamar.edu/Classes/LinAlg/InnerProductSpaces.aspx

Answer 4

haha funny thing, i read up to example 2 on there half an hour ago lol. thanks!