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If (a,b) be the orthocentre of the triangle whose vertices are (1,2), (2,3) and (3,1), and I_1=\displaystyle∫_a^b x\sin(4x-x^2)\,dx,\ \ I_2=\displaystyle∫_a^b \sin(4x-x^2)\,dx, then 36\,\dfracI_1I_2 is equal to: | Watch the step-by-step video solution for this NIMCET PYQ.