Question

integration master! I NEED HELP!

Answer 1

\[\int\limits_{-3}^{3}\int\limits_{-\pi}^{\pi} \sqrt{1+\sin^2 (y) +x^2 \cos^2 (y)} dydx\]

Answer 2

so this is finding surface area so original function was ( z=x sin y ) and limits is given

Answer 3

so formula for the finding area is sqrt(1^2 + az/ax^2 + az/ay^2)

Answer 4

hi can you see what i wrote?

Answer 5

im reading it hold on....

Answer 6

oo I love this

Answer 7

hi

Answer 8

haha i love this too

Answer 9

I'm starting to think that maybe your set up was wrong

Answer 10

ok so you know the formula for the finding area right?

Answer 11

Its been a while

Answer 12

ok so its

Answer 13

\[\int\limits_{}^{}\int\limits_{D}^{} \sqrt{1^2 + (az/ax)^2 + (az/ay)^2} dA \]

Answer 14

so z=x sin(y) so i got partial derivative sin(y) for X

Answer 15

and i got partial derivative xcos(y) for Y

Answer 16

and squared both X, Y -> plug in to the finding area formula

Answer 17

have you tried switching the bounds?

Answer 18

does bounds mean limits?

Answer 19

its given by \[-3\le x \le3 , -\pi \le y \le \pi\]

Answer 20

holy s*** your teachers are mean The thing I can think of is try switching all the trig functions to be the same then do some black magic substitutions to get an answer