InterviewSolution
Saved Bookmarks
InterviewSolution
| 1. |
The value of `int(1)/(x^(2)(x^(4)+1)^(3//4))dx` , isA. `(1+(1)/(x^(4)))^(1//4)`B. `-(1+(1)/(x^(4)))^(1//4)`C. `-(1)/(4)(1+(1)/(x^(4)))^(1//4)`D. none of these |
|
Answer» Correct Answer - b We have , `I=int(1)/(x^(2)(x^(4)+1)^(3//4))dx` `rArr I=int(1)/(x^(5)(1+(1)/(x^(4)))^(3//4))dx` `rArr I=-(1)/(4)int(1+(1)/(x^(4)))^(-3//4)((-4)/(x^(5)))dx` `rArr I=-(1)/(4)int(1+(1)/x^(4))^(-3//4)d(1+(1)/(x^(4)))` `rArrI=-{(1+(1)/(x^(4)))^(1//4)/(1//4)}+C=-(1+(1)/(x^(4)))^(1//4)+C` |
|