Question

Calc HELP!!! medal!!

Answer 1

@jim_thompson5910

Answer 2

@xGuardians

Answer 3

please post the full problem

Answer 4

were you able to graph what you're given?

Answer 5

you mean graph all the curves?

Answer 6

yes I did

Answer 7

you should get this

Answer 8

the region you want is in purple

Answer 9

the antiderivative of arcsine is a bit of a pain to deal with
but you can do this

y = arcsin(x/6)
sin(y) = x/6
x = 6*sin(y)

Answer 10

the antiderivative of sine is much easier to deal with compared to arcsine. So I'd use that trick above and then integrate with respect to y

Answer 11

so i integrate 6*sin(y)??

Answer 12

you would need to compute

\[\Large \int_{0}^{\pi/2}\left[6 - 6*\sin(y)\right]dy\]

Answer 13

The reason for the subtraction is we want to kick out the light blue region

Answer 14

i got 3(pi-2)

Answer 15

is this right

Answer 16

yes or 3pi-6

Answer 17

are there any futher steps?

Answer 18

nope

Answer 19

thanks

Answer 20

btw this is what everything looks like when you swap x and y. You'll have things reflect