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Let f prime(x)=(192x^3)/(2+sin^4 pix) fo...

Let `f prime(x)=(192x^3)/(2+sin^4 pix)` for all `x in RR` with `f(1/2)=0.` If `mlt=int_(1/2)^1f(x)dxlt=M` then the possible values of m and M are (i) `m=13,M= 24` (ii)` m=1/4,M=1/2` (iii) `m=-11,M = 0` (iv) `m=1,M=12`

A

`m=13, M =24`

B

`m=(1)/(4), M=(1)/(2)`

C

`m=-11,M=0`

D

`m=1,M12`

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The correct Answer is:
B
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