`int"cosec"^(4)x dx ` is equal toA. `cotx+(cot^(3))/(3)+C`B. `tanx+(tan^(3)x)/(3)+C`C. `-cotx-(cot^(3)x)/(3)+C`D. `-tanx-(tan^(3)x)/(3)+C`

`int"cosec"^(4)x dx ` is equal toA. `cotx+(cot^(3))/(3)+C`B. `tanx+(ta

1.	`int"cosec"^(4)x dx ` is equal toA. `cotx+(cot^(3))/(3)+C`B. `tanx+(tan^(3)x)/(3)+C`C. `-cotx-(cot^(3)x)/(3)+C`D. `-tanx-(tan^(3)x)/(3)+C`
Answer» Correct Answer - C `int"cosec"^(4)xdx=int"cosec"^(2)x."cosec"^(2)xdx` `=int"cosec^(2)x(1+cot^(2)x)dx` `=int"cosec"^(2)xdx+intcot^(2)x."cosec"^(2)xdx` `=-cotx-(cot^(3)x)/(3)+C`