In the language of Calculus, the area between two curves is essentially a difference of integrals. The applications of this calculation range from macroeconomic tax models to signal analysis.

Find the area of the region bounded by \(y \geq x^2 - 25 \) and \(y \leq 0\).

What is the area of the region bounded by the curve \(y= 9{x}^2-54x\) and the \(x\)-axis ?

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