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If $\int_{1}^{3} \left( \frac{a}{(4x-3)^2} + 2 \right) \, dx = 12$, find the value of the constant $a$.
Mathematics 9709 · AS & A Level · Integration
If $\int_{1}^{3} \left( \frac{a}{(4x-3)^2} + 2 \right) \, dx = 12$, find the value of the constant $a$.