1.

फलन का x के सापेक्ष समाकलन कीजिए -`(sin^(2)x -cos^(2)x)/(sin^(2)xcos^(2)x)`

Answer» Correct Answer - `tanx +cotx `
`int (sin^(2)x-cos^(2)x)/(sin^(2)xcos^(2)x)dx=int (sin^(2)x)/(sin^(2)x cos^(2)x)dx-int (cos^(2)x)/(sin^(2)xcos^(2)x)dx`
`=int(1)/(cos^(2)x)dx-int (1)/(sin^(2)x)dx`
`=int sec^(2)xdx -int cosec^(2)x dx`
`=tanx + cotx +c`


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