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निम्न फलनों का समाकलन कीजिए - `x tan^2x`

Answer» Correct Answer - `x tanx =logcosx -x^2/2`
`int x tan^2x dx = int x (sec^2x-1)dx= intx sec^2x -int x dx`
`=x int sec^2x dx -int{d/(dx)(x) intsec^2x dx }d x-1/2x^2`
`=x tan x -int tanx d x -x^2/2=x tan x -logsec x -x^2/2`


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