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\[\int\limits_{0}^{pi}\int\limits_{\pi}^{\pi} \frac{ siny }{ y }dydx\]

Are those the right intervals?

yes

Ok, think of it this way |dw:1436942548336:dw|

oki...how do i change my limits

ok so my limits flip?

Sec, I don't think it's continous

|dw:1436943113232:dw| this is how your graph would like right

yes it would

Ok, so now that should be easy to interchange, |dw:1436943501108:dw|

only my second integral changes right?

Well, we should get \[\int\limits_{0}^{\pi} \int\limits_{0}^{y} \frac{ \sin y }{ y } dx dy\]

why isnt it o to x?

i thought it would be from x to pi

right because its dy dx

I'm a bit skeptical about the graph mhm

Maybe I'm just a bit tired haha, well does it look good to you?

i understand what your doing

i would intregate siny/y from o to y first?

Yup

would i do quotient rule to intregrate?

What do you mean?

Like derivatives?

yeah im a bit confused on how to integrate siny/y

No, remember we are integrating respect to x, so we treat siny/y as a constant

ok thank you...

|dw:1436944319331:dw|

\[\int\limits_{\pi}^{\pi}f(x)\,dx = 0\]
am i missing somthing here ?

Yeah, exactly, but I wasn't really sure whether the interchange should make a difference or not

it shouldn't because we must get the same answer either way

are the limits 0 to y. correct then?

No the limits are wrong, I knew it...something seemed fishy

how to find them? drawing again?

would it be pi to x?

The problem itself is messed up, please double check the limits in original question

i just checked again...those are th limits given in the practice test

\[\int\limits\limits_{0}^{\pi} \int\limits\limits_{x}^{\pi}\] my drawing is for this

Yeah this problem is a bit weird lol

because both \(x\) and \(\pi\) look alike typographically

the first question

hmm oki lets go with x...since pi to pi doesnt make sense

yeah i think thats the best we can do

Yeah lets treat it like x, you'll learn this way to I guess

|dw:1436944946903:dw|

alright so our new limits would be in respect to the drawing

So go ahead and integrate what we originally had

\[\large \int\limits\limits_{0}^{\pi} \int\limits\limits_{0}^{y} \frac{ \sin y }{ y } dx dy\]

siny/y changes to siny/y *y= siny?

Mhm?

i got 1 for the first integration

not just 2?

|dw:1436945173549:dw|

Make sense?

yes thank you so much!

and that should = 2 as ganeshie showed

Ahh right, my mistake, it should be +2

Yeah haha

wow thank you so much you guys!

Np, you can finish it off right to get 2?

yes :)

Ok cool

yes i agree

Alright cool, good luck on your exam :)