\begin{array} { l } { \text { 1e allowed: } 3 \text { hours } ] } \\ { \text { Attempt five questions in all, Q.No. one } } \\ { \text { If } y = x + \frac { 1 } { x } \text { , show that } x ^ { 2 } \frac { d y } { d x } - x y + 2 } \\ { \text { Evaluate the integral } \int \frac { 1 } { x ( 1 + \log x ) ^ { 2 } } d } \end{array}

\begin{array} { l } { \text { 1e allowed: } 3 \text { hours } ] } \\ {

1.	\begin{array} { l } { \text { 1e allowed: } 3 \text { hours } ] } \\ { \text { Attempt five questions in all, Q.No. one } } \\ { \text { If } y = x + \frac { 1 } { x } \text { , show that } x ^ { 2 } \frac { d y } { d x } - x y + 2 } \\ { \text { Evaluate the integral } \int \frac { 1 } { x ( 1 + \log x ) ^ { 2 } } d } \end{array}
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