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Let f(alpha, beta) = =|(cos (alpha + bet...

Let `f(alpha, beta) = =|(cos (alpha + beta), -sin (alpha + beta), cos 2beta),(sin alpha, cos alpha, sin beta),(-cos alpha, sin alpha, cos beta)|`
`If l =int_(-pi//2)^(pi//2) cos ^(2)beta(f(0,beta)+f(0,(pi)/(2)-beta))dbeta` then [l] is

A

`e^(pi//2)`

B

3

C

`2(2e^(pi//2)-1)`

D

`None of these

Text Solution

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The correct Answer is:
B
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