Question

Find area bounded between..

Answer 1

\[\LARGE y=\sin^{-1}(|\sin x|),y=(\sin^{-1}|\sin x|)^2\]

Answer 2

do you normally break it down first?

Answer 3

how?

Answer 4

your |sin(x)|'s
then distributive property of 1/sin *-sin(x) and 1/sin *sin(x)

Answer 5

then you do it to the other y, except that you would ^2 it

Answer 6

or them*

Answer 7

omg, I guess I was no help LOL

Answer 8

nvm yes :/

Answer 9

\(\LARGE y=\sin^{-1}(|\sin x|),y=(\sin^{-1}|\sin x|)^2 \)

when 0<x<1, |sin x | = sin x
when -1<x<0, |sin x | = -sin x

Answer 10

yup

Answer 11

split given curves in that range and have a piece wise function for each curve

Answer 12

when 0<x<1, |sin x | = sin x

\(\LARGE y=\sin^{-1}(\sin x),y=(\sin^{-1} \sin x)^2\)

Answer 13

what about the rest of the cases then?? :O

Answer 14

whats the domain of sin^-1 ?

Answer 15

this is the first foremost case right?
and domain of sin^-1 =>[-pi/2,pi/2]