Flag Integral Calculus> The area enclosed by the curve y 2 + x 4 ...
question mark

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

Snehal Jadhav , 6 Years ago
Grade 12
anser 1 Answers
Arun

Last Activity: 6 Years ago

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

star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments