Find the area enclosed by the curves 3x2 + 5y = 32 and y = |x – 2|.

To find area enclosed by

3x2 + 5y = 32


…(i)


And y = |x – 2|




Equation (i) represents a parabola with vertex (0, 32/5) and equation (ii) represents lines.


These are shown in the graph below:



Required area = Region ABECDA


= Region ABEA + Region AECDA











The area enclosed by the curves 3x2 + 5y = 32 and y = |x – 2| is


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