`intxsqrt(x-1)dx=?`A. `(2)/(3)(x-1)^((3)/(2))+C`B. `(2)/(5)(x-1)^((5)/(2))+C`C. `(2)/(5)(x-1)^((5)/(2))+(3)/(2)(x-1)^((3)/(2))+C`D. none of these

`intxsqrt(x-1)dx=?`A. `(2)/(3)(x-1)^((3)/(2))+C`B. `(2)/(5)(x-1)^((5)/

1.	`intxsqrt(x-1)dx=?`A. `(2)/(3)(x-1)^((3)/(2))+C`B. `(2)/(5)(x-1)^((5)/(2))+C`C. `(2)/(5)(x-1)^((5)/(2))+(3)/(2)(x-1)^((3)/(2))+C`D. none of these
Answer» Correct Answer - C `I=int{(x-1+1)sqrt(x-1)}dx=int{(x-1)^((3)/(2))+(x-1)^((1)/(2))}dx`. `=(2)/(5)(x-1)^((5)/(2))+(3)/(2)(x-1)^((3)/(2))+C`.