If I= 0 2 32x 32x+ 32x dx, then 02I x x x 4x+ 4x dx equals :
(3) 216
King's property: x 2-x in I and add 2I= 0 /2dx= 2, so the limits are 0 to 2.
J= 0 /2 x x x 4x+ 4xdx; same property: 2J= 2 0 /2 x x 4x+ 4xdx
Divide by 4x, put t= 2x, dt=2 x 2x dx:
J= 4 12 0 dt1+t2= 8 2
J= 216
Answer: (3)
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