Sketch the domain of integration (annotating the parts of its boundary appropriately and evaluate the integral 2y dx dy, where N is the region bounded above by the curve y + x² = 1 and below by the lowe bart of the circle x² + y? = 1.

Q: Evaluate the integral (+ 2) dz where C is the line segment from the origin to the point 1+ 2i.

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Q: Evaluate the double integral / |: xy dA where D is the region bounded by the line y = x – 1 and the…

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Q: Find the area bounded by the curve x=16-v² and the curve x=y-5y+4 as shown in figure below. x = y² –…

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Q: Find the area of the region bounded by the graphs of y = x2, y= x² – 2r +3 and y= 2x- 1.

A: Given curve is y=x2, y=x2−2x+3 and y=2x-1 we have to find the area of the region bounded by the…