InterviewSolution
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InterviewSolution
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The integral `int(dx)/(x^(2)(x^(4)+1)^(3//4))` equalA. `((x^(4)+1)/(x^(4)))^(1//4)+C`B. `(x^(4)+1)^(1//4)+C`C. `-(x^(4)+1)^(1//4)+C`D. `-((x^(4)+1)/(x^(4)))^(1//4)+C` |
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Answer» Correct Answer - D Let `l=int(dx)/(x^(2)(x^(4)+1)^((3)/(4)))=int(dx)/(x^(5)(1+(1)/(x^(4)))^((3)/(4)))` Put `1+(1)/(x^(4))=t^(4)" "rArr" "-(4)/(x^(5))dx=4t^(3)dt` `rArr" "(dx)/(x^(5))=-t^(3)dt` `therefore" "l=int(-t^(3)dt)/(t^(3))=-intdt=-t+C=-(1+(1)/(x^(4)))^((1)/(4))+c` |
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