Warm up problem 13: exponential area medium

Calculus Level 3

In the graph above, the area of the green shaded section contained beneath the red line \(\sqrt{x+1}\) and above the x-axis and above the blue line \(\sqrt{x}\) from x=-1 to x=2 Can be represented as \(a\sqrt b-\dfrac{c\sqrt d}{e}\) where b,d are square free and c,e are coprime. Find \(a+b+c+d+e\).

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