Math Problem 3
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(a) Find a pair of constants $p$ and $q$ such that $11sinx + 7cosx ≡ p(3sinx + cosx) + q(3cosx - sinx)$.
(b) Evaluate $\displaystyle \int_{0}^{\pi/4} \frac{11\sin x + 7\cos x}{3\sin x + \cos x}\ dx$.
($2 + 4$ marks)
Suggested Solution
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