can anyone assist with evaluating the integral if sin (x/y) with respect to x & y, i have tried using integration by parts but cant seem to get an answer.

i know by using the online calculators the answer is -ycos(x/y)

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- April 23rd 2010, 07:26 PMjohn1985how to integrate sin(x/y) dx
can anyone assist with evaluating the integral if sin (x/y) with respect to x & y, i have tried using integration by parts but cant seem to get an answer.

i know by using the online calculators the answer is -ycos(x/y) - April 23rd 2010, 09:00 PMdwsmith
- April 23rd 2010, 09:03 PMPulock2009suggestion
- April 24th 2010, 10:23 PMjohn1985
would some be able to post some of the initial steps i get you have to use the substitution method but am having difficultiy getting the answer out

original expression integrate with respect to x

= sin(y/x)

step 2 using substitution = sin (t) dt

step 3 -cos (t) t ??? - April 24th 2010, 10:37 PMmaddas
Is y a constant? If so: let x = yt, so dx = y dt. Then .

- April 25th 2010, 04:47 AMmr fantastic
- April 25th 2010, 11:14 AMdwsmith

Try doing dy now. - April 25th 2010, 03:14 PMmr fantastic
- April 25th 2010, 03:19 PMdwsmith
- April 25th 2010, 03:25 PMmaddas
- April 25th 2010, 03:44 PMmr fantastic
- April 25th 2010, 09:52 PMsr917
evaluate the double integral sin(x/y)dA where R is the region bounded by the y-axis , y=pi and x=y^2

- April 26th 2010, 12:10 AMmr fantastic