Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

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
25763 Points
3 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 ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free