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A function y = f(x) satisfies the condi...

A function `y = f(x)` satisfies the condition `f'(x) sin x + f(x) cos x=1 ,f(x)` being bounded when `x->0`. If `I= int_0^(pi/2) f(x) dx` then (A) `pi/2ltIltpi^2/4` (B) `pi/4ltIltpi^2/2` (C) `1ltIltpi/2` (D)`0ltIlt1`

A

`(pi)/(2) lt l lt (pi^(2))/(4) `

B

`(pi)/(4) lt l lt (pi^(2))/(2)`

C

`1 lt l lt (pi)/(2)`

D

`0 lt l lt 1 `

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A
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