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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