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यदि f (x) = |{:(sec x ,cos x ,sec^(2) x...

यदि ` f (x) = |{:(sec x ,cos x ,sec^(2) x + cot x cosecx ),( cos^(2) x ,cos^(2) x," "cosec^(2) x ),(1,cos^(2) x ," "cos^(2) x ):}|` है, तो `int _(0) ^( pi // 2) f (x) dx = - (( 15 pi + 32)/( 60))` होगा।

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