InterviewSolution
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InterviewSolution
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`int((x^(4)-x)^(1//4))/(x^(5))dx` is equal toA. `(4)/(15)(1-(1)/(x^(3)))^(5//4)+C`B. `(4)/(5)(1-(1)/(x^(3)))^(5//4)+C`C. `(4)/(15)(1+(1)/(x^(3)))^(5//4)+C`D. None of these |
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Answer» Correct Answer - A Let `l=int((x^(4)-x)^(1//4))/(x^(5))dx=int(x(1-(1)/(x^(3)))^(1//4))/(x^(5))dx` `=int((1-(1)/(x^(3)))^(1//4))/(x^(4))dx` Put `1-(1)/(x^(3))=t^(4) rArr (3)/(x^(4))dx= 4t^(3)dt` `therefore" "l=(4)/(3)int t.t^(3)dt=(4)/(3).((t^(5))/(5))+C=(4)/(!5)(1-(1)/(x^(3)))^(5//4)+C` |
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