Q76. One of the points of intersection of the curves $y = 1 + 3 x - 2 x ^ { 2 }$ and $y = \frac { 1 } { x }$ is $\left( \frac { 1 } { 2 } , 2 \right)$. Let the area of the region enclosed by these curves be $\frac { 1 } { 24 } ( l \sqrt { 5 } + \mathrm { m } ) - \mathrm { n } \log _ { \mathrm { e } } ( 1 + \sqrt { 5 } )$, where $l , \mathrm {~m} , \mathrm { n } \in \mathbf { N }$. Then $l + \mathrm { m } + \mathrm { n }$ is equal to\\
(1) 29\\
(2) 31\\
(3) 30\\
(4) 32