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`int_(1)^(x) (log(x^(2)))/(x)` dx is equal toA. `(log x)^(2)`B. `(1)/(2) (log x)^(2)`C. `(log x^(2))/(2) `D. None of these |
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Answer» Correct Answer - A Let ` I = int_(1)^(x) (log (x^(2)))/(x)dx` ` = 2 int_(1)^(x) log x (1)/(x)dx` Put `log x = t rArr (1)/(x) dx = dt` ` therefore 2 int_(0)^(log x) t dt = 2[(t^(2))/(2)]_(0)^( log x)` `= (log x)^(2)` |
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