Solve the Problem by Integration $t$ (In Min) Required to Form $x$

Multiple Choice

Solve the problem by integration.
-Under specified conditions, the time $t$ (in min) required to form $x$ grams of a substance during a chemical reaction is given by $t = \int \frac { d x } { ( 7 - x ) ( 2 - x ) }$ . Find the equation relating $t$ and $x$ if $x = 0 g$ when $t = 0$ min.

A) $t = \frac { 1 } { 5 } \ln \left| \frac { 2 - x } { 7 - x } \right| - \frac { 1 } { 5 } \ln \frac { 2 } { 7 }$
B) $t = \frac { 1 } { 5 } \ln \left| \frac { 7 - x } { 2 - x } \right| + \frac { 1 } { 5 } \ln \frac { 7 } { 2 }$
C) $t = \frac { 1 } { 5 } \ln \left| \frac { 7 - x } { 2 - x } \right| - \frac { 1 } { 5 } \ln \frac { 7 } { 2 }$
D) $t = \frac { 1 } { 5 } \ln \left| \frac { 2 - x } { 7 - x } \right| + \frac { 1 } { 5 } \ln \frac { 2 } { 7 }$