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

Question

Philoid · Accepted Answer

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