InterviewSolution
Saved Bookmarks
InterviewSolution
| 1. |
`int(sin^(-1)x)/(sqrt(1-x^(2)))dx` is equal to Where, C is an arbitrary constant.A. `log(sin^(-1)x)+C`B. `(1)/(2)(sin^(-1)x)^(2)+C`C. `log(sqrt(1-x^(2)))+C`D. `sin(cos^(-1)x)+C` |
|
Answer» Correct Answer - B Let `" "l=int(sin^(-1)x)/(sqrt(1-x^(2)))dx` Put`" "sin^(-1)x=t" "rArr" "(1)/(sqrt(1-x^(2)))dx=dt` `therefore" "l=int t dt=(t^(2))/(2)+C=((sin^(-1)x)^(2))/(2)+C` |
|