# Integrate The Product

Calculus Level pending

Each of $$q(y)$$, $$r(y)$$ and $$s(y)$$ are continuous functions on $$[0, 6]$$ such that:

$$q(y) = q(6-y)$$, $$r(y) = - r(6-y)$$, and $$3s(y) - 4s(6-y) = 5$$

Evaluate: $$\displaystyle\int_{0}^{6}q(y)r(y)s(y)dy$$

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