`int(1)/(sin^(2)x.cos^(2)x)dx` is equal toA. `sinx - cos x +C`B. `tanx +cot x+C`C. `cos x +sinx +C`D. `tanx -cot x +C`

`int(1)/(sin^(2)x.cos^(2)x)dx` is equal toA. `sinx - cos x +C`B. `tanx

1.	`int(1)/(sin^(2)x.cos^(2)x)dx` is equal toA. `sinx - cos x +C`B. `tanx +cot x+C`C. `cos x +sinx +C`D. `tanx -cot x +C`
Answer» Correct Answer - D `int(1)/(sin^(2)xcos^(2)x)dx=int(sin^(2)x+cos^(2)x)/(sin^(2)xcos^(2)x)dx` `=int((1)/(cos^(2)x)+(1)/(sin^(2)x))dx` `=int(sec^(2)x+"cosec"^(2)x)dx=tanx-cot x+C`