0

Guest

Courses New

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

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

Grade:12

1 Answers

Arun
25757 Points
4 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

Think You Can Provide A Better Answer ?

Other Related Questions on Integral Calculus

View all Questions »

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More