If ( x)^ -11/2 ( x)^ -5/2 dx = - p_1 q_1 ( x)^ 9/2 - p_2 q_2 ( x)^ 5/2 - p_3 q_3 ( x)^ 1/2 + p_4 q_4 ( x)^...

Question

If ( x)^ -11/2 ( x)^ -5/2 dx = - p_1 q_1 ( x)^ 9/2 - p_2 q_2 ( x)^ 5/2 - p_3 q_3 ( x)^ 1/2 + p_4 q_4 ( x)^ -3/2 + C, where p_i and q_i are positive integers with (p_i,q_i)=1 for i=1,2,3,4 and C is the constant of integration, then 15p_1p_2p_3p_4 q_1q_2q_3q_4 is equal to _____.

Accepted Answer

16

JEE Main 2026 Mathematics question

Solution