Question

Please help me with this double integral; I'll type it below... Please help me with this double integral; I'll type it below... @Mathematics

Answer 1

\[\int\limits_{0}^{3}\int\limits_{0}^{1}ze ^{y}\sqrt{1-z ^{2}}dzdy\]

Answer 2

Use integral substitution first to eliminate z, and then integrate

Answer 3

6.33

Answer 4

I only got \[-1/3 e ^{3}\] which is wrong!

Answer 5

\[\frac{e^3-1}{3}\]

Answer 6

no -1/3e^3 but 1/3e^3

Answer 7

zarkon, how did you get that?

Answer 8

Could you show what you got after the substitution?

Answer 9

remember e^(0)=1 ...I'm betting you are missing that part

Answer 10

Ha! Exactly. Thank you. I got so used to ignoring the 0s after integration.

Answer 11

no problem