`int(1)/(sqrt(8+2x-x^(2)))dx` is equal toA. `(1)/(3)sin^(-1)((x-1)/(3))+c`B. `sin^(-1)((x+1)/(3))+c`C. `(1)/(3)sin^(-1)((x+1)/(3))+c`D. `sin^(-1)((x-1)/(3))+c`

`int(1)/(sqrt(8+2x-x^(2)))dx` is equal toA. `(1)/(3)sin^(-1)((x-1)/(3)

1.	`int(1)/(sqrt(8+2x-x^(2)))dx` is equal toA. `(1)/(3)sin^(-1)((x-1)/(3))+c`B. `sin^(-1)((x+1)/(3))+c`C. `(1)/(3)sin^(-1)((x+1)/(3))+c`D. `sin^(-1)((x-1)/(3))+c`
Answer» Correct Answer - D `int(dx)/(sqrt(8+2x-x^(2)))=int(dx)/(sqrt(8-(x^(2)-2x+1)+1))` `=int(dx)/(sqrt(3^(2)-(x-1)^(2)))=sin^(-1)((x-1)/(3))+c`