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int(pi//3)^(pi//4)(tanx+cotx)^(2)dx...

`int_(pi//3)^(pi//4)(tanx+cotx)^(2)dx`

Text Solution

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`I=int(tan^(2)x+cot^(2)x+2)dx=int{(sec^(2)x-1)+(cosec^(2)x-1)+2}dx`
`=int(sec^(2)x+cosec^(2)x)dx`.
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