True or false, and provide justification.
Let V be the vector space of continuous functions on [-Pi/2, Pi/2]. Define a pairing < - , - > on V by the formula http://img692.imageshack.us/img692/9642/64627378.png
Then, < - , - > is an inner product on V .
I have no idea how to approach this, or even what it is asking... any help?