`int(sinxcosx)/(sqrt(1-sin^(4)x)dx` is equal toA. `(1)/(2)sin^(-1)(sin^(2)x)+C`B. `(1)/(2)cos^(-1)(sin^(2)x)+C`C. `tan^(-1)(sin^(2)x)+C`D. `tan^(-1)(2sin^(2)x)+C`

`int(sinxcosx)/(sqrt(1-sin^(4)x)dx` is equal toA. `(1)/(2)sin^(-1)(sin

1.	`int(sinxcosx)/(sqrt(1-sin^(4)x)dx` is equal toA. `(1)/(2)sin^(-1)(sin^(2)x)+C`B. `(1)/(2)cos^(-1)(sin^(2)x)+C`C. `tan^(-1)(sin^(2)x)+C`D. `tan^(-1)(2sin^(2)x)+C`
Answer» Correct Answer - A Let `l=int(sinx cos x)/(sqrt(1-sin^(4)x))dx` Put`" "Sin^(2)x=t rArr 2 sin x cos x dx=dt` `therefore" "l=int(dt)/(2sqrt(1-t^(2)))=(1)/(2)sin^(-1)t+C` `=(1)/(2)sin^(-1)(sin^(2)x)+C`