Question

Find the area of the region bounded by the curves y= sin^-1 (x/6), y = 0, and x = 6 obtained by integrating with respect to y.

Answer 1

*sin^-1 refers to the inverse of sin

Answer 2

arcsin(x)=y can be re-written as x=sin(y)

Answer 3

you one more info to integrate with respect to y
when x=6 then y=?

Answer 4

well use y=arcsin(x/6) to get that

Answer 5

@xapproachesinfinity so what do we do from here

Answer 6

find y=... when x=6

Answer 7

this is 100% correct one
https://www.desmos.com/calculator/q80wvseqjo

Answer 8

(don't mess up anymore)

Answer 9

so what do you say?