InterviewSolution
Saved Bookmarks
InterviewSolution
| 1. |
`I=int(1)/((a^(2)-b^(2)x^(2))^(3//2))dx` is equal toA. `(x)/(sqrt(a^(2)-b^(2)x^(2)))+C`B. `(x)/(a^(2)sqrt(a^(2)-b^(2)x^(2)))+C`C. `(ax)/(sqrt(a^(2)-b^(2)x^(2)))+C`D. none of these |
|
Answer» Correct Answer - b We have `I=int(1)/((a^(2)-b^(2)x^(2))^(3//2))=(-1)/(2a^(2))int(-2a^(2))/(x^(3)((a^(2))/(x^(2))-b^(2))^(3//2))dx` `rArr I=(-1)/(2a^(2))int((a^(2))/(x^(2))-b^(2))^(-3//2)d((a^(2))/(x^(2))-b^(2))` `rArrI=(1)/(a^(2))((a^(2))/(x^(2))-b^(2))^(-1//2)+C(x)/(a^(2)(a^(2)-b^(2)x^(2))^(1//2))+C` |
|