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Let f(x) = |{:(secx,cosx,sec^(2)x+cotx c...

Let f(x) = `|{:(secx,cosx,sec^(2)x+cotx cosecx),(cos^(2)x,cos^(2)x,cosec^(2)x),(1,cos^(2)x,cos^(2)x):}|`
then find the value of `int_(0)^(pi//2)` f(x) dx.

A

(a) `(pi)/4+8/15`

B

(b) `(pi)/4-8/15`

C

(c) `-(pi)/4-8/15`

D

(d) `-(pi)/4+8/15`

Text Solution

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The correct Answer is:
C
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