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Grade: 12
        
The area enclosed by the curve y2 + x4 = x2 is-
(a)2/3
(b)4/3
(c)8/3
(d)10/3
 
one year ago

Answers : (1)

Arun
24459 Points
							
Dear student
 
This curve is symmetrical along the x and y axis, so we can integrate the area in the first quadrant and multiply it by 4. 

y = x(√(1-x^2)) 

A = ∫ 0->1 x(√(1-x^2)) dx 

A = -1/3 (1-x^2)^(3/2) | 0->1 

A = 1/3 

Total Area is 1/3 x 4 = 4/3
one year ago
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