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If \displaystyle ∫ (\sin x)^-11/2 (\cos x)^5/2 dx = -p_1/q_1(\cot x)^9/2 - p_2/q_2(\cot x)^5/2 - p_3/q_3(\cot x)^1/2 + p_4/q_4(\cot x)^-3/2 + C, where p_i, q_i are positive integers with \gcd(p_i,q_i)=1 for i = 1,2,3,4 and C is the constant of integration, then \displaystyle 15p_1p_2p_3p_4/q_1q_2... | Watch the step-by-step video solution for this NIMCET PYQ.