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Let F(x)=int(sinx)^(cosx)e^((1+sin^(-1)(...

Let `F(x)=int_(sinx)^(cosx)e^((1+sin^(-1)(t))dt` on `[0,(pi)/(2)]`, then

A

`F''(c)=0" for all" c in (0,(pi)/(2))`

B

`F''(c)=0" for some" c in (0, (pi)/(2))`

C

`F''(c) = 0" for no value of " c in (0,(pi)/(2))`

D

`F(c) ne 0" for all "c in (0,(pi)/(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
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