(a) Find the area of the plane enclosed by $y^{2}=4 x$ and $x^{2}=4 y$.
Explanation
The area of the plane enclosed by the curves $y^{2}=4 x$ and $x^{2}=4 y$ can be found by integrating the difference between the two functions from $x=0$ to $x=4$. The integral is evaluated by substituting $y^{2}=4 x$ and then simplifying the expression.
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