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int(cos x)/([cos((x)/(2))+sin((x)/(2))]^...

`int(cos x)/([cos((x)/(2))+sin((x)/(2))]^(5))dx=`
1) `(2)/(3)[cosec((x)/(2))+sec((x)/(2))]^(3)`
2) `(2)/(3)[cos((x)/(2))+sin((x)/(2))]^(3)+C`
3) `(2)/(3)[sin((x)/(2))-cos((x)/(2))]^(3)+c`
4)` -(1)/(3)[sin((x)/(2))+cos((x)/(2))]^(-3)`

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int(cos x)/(cos((x)/(2))+sin((x)/(2)))^(5)dx=,[[" (A) "(2)/(3)(cosec((x)/(2))+sec((x)/(2)))^(3)+c," (B) "(2)/(3)(cos((x)/(2))+sin((x)/(2)))^(3)+c],[" (C) "(2)/(3)(sin((x)/(2))-cos((x)/(2)))^(-3)+c," (D) "-(2)/(3)(sin((x)/(2))+cos((x)/(2)))^(-3)+c]]

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