i'd like to know how can i change the following domain to a simple one $$D=\left\{(x,y)\mid \frac12\le x+y\le1 ;x^3\le y\le 4x^3\right\}$$ regarding the integral: $$\iint\limits_D\frac{x+3y}{x^4}e^{y/x^3} \,dx \, dy$$ It's pretty obvious that i should use $u=\frac{y}{x^3}$, so that $1\le u\le4$, but i'm not so sure about the other one. Can anyone help?
2026-03-26 19:14:27.1774552467
Parameter change
34 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in INTEGRATION
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