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Area bounded by the curves y = 1 - 2^(1 ...

Area bounded by the curves `y = 1 - 2^(1 + sin x), x in [0, (pi)/(2)]` where `underset(0)overset(pi//2)(int) 2^(sin x) dx = k`

A

`(pi - 4k)/(2)`

B

`(pi - 2 k)/(2)`

C

`(2 pi - k)/(2)`

D

none of these

Text Solution

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The correct Answer is:
A
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