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