## Question

###### Show that for all integers $m$ and $n,$ with $m \neq \pm n$ $\int_{-x}^{\pi} \sin m \theta \sin n \theta d \theta=0.$

Show that for all integers $m$ and $n,$ with $m \neq \pm n$ $\int_{-x}^{\pi} \sin m \theta \sin n \theta d \theta=0.$

## Answers

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