The curve is .
Graph the curve .
Shade the required region.
Observe the graph :
Region enclosed by the given curves is between and .
Area enclosed by the curves and between and is
.
The curve is .
Top half of the curve is .
Observe the graph:
Curve is symmetrical about axis,
Hence the area enclosed by the loop is twice the area of top half of the curve.
.
Assume .
.
Change of integral limits:
Lower limt: If then .
Upper limt: If then .
Substitute and change of limits in .
Area of the region is sq-units.
Area of the region is sq-units.
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