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`intxsqrt(x^(2)-x)dx=?`A. `(1)/(3)(x^(2)-1)^((3)/(2))+C`B. `(2)/(3)(x^(2)-1)^((3)/(2))+C`C. `(1)/(sqrt(x^(2)-1))+C`D. none of these |
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Answer» Correct Answer - A Put `x^(2)-1=t and2xdx=dt`. `I=(1)/(2)sqrt(t)dt=(1)/(2)*(t^((3)/(2)))/((3)/(2))+C=(1)/(3)(x^(2)-1)^((3)/(2))+C`. |
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