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Find the area bounded by the curves x^2+...

Find the area bounded by the curves `x^2+y^2=4, x^2=-sqrt2 y` and `x=y`

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To find the area bounded by the curves \( x^2 + y^2 = 4 \), \( x^2 = -\sqrt{2}y \), and \( x = y \), we will follow these steps: ### Step 1: Identify the curves 1. **Circle**: The equation \( x^2 + y^2 = 4 \) represents a circle with a radius of 2 centered at the origin. 2. **Parabola**: The equation \( x^2 = -\sqrt{2}y \) represents a downward-opening parabola. 3. **Line**: The equation \( x = y \) represents a line that passes through the origin at a 45-degree angle.
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