InterviewSolution
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InterviewSolution
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`intsqrt((x)/(1-x^(3)))dx` is equal toA. `(2)/(3)sin^(-1)(x^(2//3))+C`B. `(3)/(2)sin^(-1)(x^(2//3))+C`C. `(3)/(2)sin^(-1)(x^(2//3))+C`D. `(2)/(3)sin^(-1)(x^(2//3))+C` |
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Answer» Correct Answer - A `l=intsqrt((x)/(1-x^(3)))dx=int(sqrtx)/(sqrt(1-x^(3)))dx=int(sqrtx)/(sqrt(1-(x^(3//2))^(2)))dx` `"Put "x^(3//2)=t rArr sqrtx dx =(2)/(3)dt` `"So, "l=(2)/(3)int(dt)/(sqrt(1-t^(2)))=(2)/(3)sin^(-1)(x^(3//2))+C` |
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