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Short answer: you don't.
The linear term in the numerator of the integral means the form shown is not applicable. Rather, you perform the integration using partial fraction expansion.
The integral is ...
... (1/35)ln|5x-1| +(6/35)ln|5x+13| +C
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If the numerator of your integral were a constant, then the fractions multiplying the separate partial fraction integrals would have the same magnitude and opposite signs. You would end with the difference of logarithms, which could be expressed as the log of a ratio as shown in your problem statement.
By definition, the area of a rectangle is:
Where,
w: width of the rectangle
l: length of the rectangle
The total area is given by:
Where,
A1: rectangular wooden board 1
A2: rectangular wooden board 2
Substituting we have:
Rewriting we have:
Answer:
The width is given by: