1.

`int(dx)/(sin^(2)cos^(2)x)` बराबर है :A. `tanx+cot x+C`B. `tanx-cotx+C`C. `tanx cot x+C`D. `tanx-cot 2x+C`

Answer» Correct Answer - B
`int(dx)/(sin^(2)cos^(2)x)`
`=int(sin^(2)x+cos^(2)x)/(sin^(2)x cos^(2)x)dx`
`=int(sin^(2)x)/(sin^(2)cos^(2)x)dx+int(cos^(2)x)/(sin^(2)xcos^(2)x)dx`
`=intsec^(2)x dx + int"cosec"^(2)xdx`
`=tanx - cot x+c`


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