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Need a hint for this triple integral
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[QUOTE="littlebearrrr, post: 4560289, member: 487953"] [h2]Homework Statement [/h2] Evaluate the triple integral of sin2z/(4-z) dydzdx where the limits of integration for outer limits (x) are from 0 to 2, the middle limits (z) are 0 to 4-(x^2), and the inner limits (y) are 0 to x.[h2]Homework Equations[/h2] [h2]The Attempt at a Solution[/h2] I'm not sure what the best approach is for this integral. Should I start by tackling the hardest one (dz), or work on the dx and dy integrals where the integrand is a constant? My attempt at the problem involved integrating wrt x first, then wrt y. I got the integral of 2xsin2z/(4-z) dz, from 0 to 4-x^2. I guess what's throwing me off is that trig function. Only thing I can think of is by parts... Edit: Integrated wrt y then wrt x, got 2sin2z/4-z, so that's a bit simpler. Still need to integrate wrt z. I'm thinking by parts but wondering if there's a more efficient way that I might be missing. [/QUOTE]
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Need a hint for this triple integral
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