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The value of `int(x+(1)/(x))^(3//2)((x^(2)-1)/(x^(2)))dx` , isA. `(2)/(3)(x+(1)/(x))^(3//2)+C`B. `(2)/(5)(x+(1)/(x))^(5//2)+C`C. `2(x+(1)/(x))^(1//2)+C`D. none of these

Answer» Correct Answer - b
We have , `I =int(x+(1)/(x))^(3//2)((x^(2)-1)/(x^(2))dx`
`rArrI=int(x+(1)/(x))^(3//2)d(x+(1)/(x))=(2)/(5)(x+(1)/(x))^(5//2)+C`


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