Question

find the area bounded by the two curve
x=y^2-1 and x=|y| sqrt(1-y^2)

Answer 1

I got 2

Answer 2

You're the guy who helped me! Can you please help me with convergence later? lol

Answer 3

how?

Answer 4

\[2\int\limits_{0}^{1}y \sqrt{1-y^2}dy-2\int\limits_{0}^{1}(y^2-1)dy\]

Answer 5

use substitution for the first integral

Answer 6

u=1-y^2

Answer 7

solution with the integral is ok,i will do that

Answer 8

it is symmetric, so we do two times the region where y is positive to get rid of absolute value

Answer 9

just was confuse in the formation

Answer 10

thats right too

Answer 11

looks like a heart shaped region

Answer 12

i have a maple graph if you want to see it

Answer 13

correct, i had drawn that too :)

Answer 14

the first one is parabola, the second one had two loops passing through origin

Answer 15

yep that's how mine looks too.

Answer 16

let me look at the integral you formed

Answer 17

ok