InterviewSolution
Saved Bookmarks
InterviewSolution
| 1. |
`int x sqrt(x+2)dx` is equal toA. `(2)/(5)(x+2)^(5//2)-(4)/(3)(x+2)^(3//2)+C`B. `(1)/(5)(x+2)^(5//2)-(4)/(3)(x+2)^(3//2)+C`C. `(2)/(5)(x+2)^(5//2)-(2)/(3)(x+2)^(3//2)+C`D. None of these |
|
Answer» Correct Answer - A `intxsqrt(x+2)dx=int(x+2-2)sqrt(x+2)dx` `=int(x+2)sqrt(x+2)dx-2intsqrt(x+2)dx` `=int(x+2)^(3//2)dx-2int(x+2)^(1//2)dx` `=((x+2)^((3//2)+1))/((3//2)+1)-2((x+2)^((1//2)+1))/((1//2)+1)+C` `" "[because intx^(n)dx=(x^(n+1))/(n+1)]` `=(2)/(5)(x+2)^(5//2)-(2xx2)/(3)(x+2)^(3//2)+C` `=(2)/(5)(x+2)^(5//2)-(4)/(3)(x+2)^(3//2)+C` |
|