InterviewSolution
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InterviewSolution
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The anti derivative of `(sqrt(x)+1/(sqrt(x)))`equals(A) `1/3x^(1/3)+2x^(1/2)+C` (B) `2/3x^(2/3)+1/2x^2+C`(C) `2/3x^(3/2)+2x^(1/2)+C` (D) `3/2x^(3/2)+1/2x^(1/2)+C`A. `(2)/(3)x^(2/3) +(1)/(2)x^(2)+c`B. `(2)/(3)x^(3/2) +2x^(1/2)+c`C. `(3)/(2) x^(3/2)+(1)/(2)x^(1/2)+c`D. |
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Answer» Correct Answer - c `int (sqrt(x) +(1)/(sqrt(x)))dx =int x^(1//2) dx+ int x^(-1//2) dx` `= (x^(3//2))/(3//2) +(x^(1//2))/(1//2) +c =(2)/(3)x^(3//2) + 2x^(1//2) +c` |
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