Question

ayuda por fa urgente

Answer 1

$[tex][tex] \int\limits^{ e^{2}} _1 \int\limits^ \frac{1}{y} _0 { e^{xy} } \, dxdy \\ Primero, integramos, respecto, a, x \\ \int\limits^{ e^{2}} _1 \frac{e^{xy}}{y} \left \| {{x= \frac{1}{y} } \atop {x=0}} \right.dy \\\int\limits^{ e^{2}} _1 \frac{e^{ \frac{1}{y} y}}{y}-\frac{e^{0y}}{y}dy \\ \int\limits^{ e^{2}} _1 \frac{e}{y}- \frac{1}{y}dy \\ (e-1)\int\limits^{ e^{2}} _1 \frac{1}{y} dy \\ (e-1)lny \left \| {{y= e^{2} } \atop {y=1}} \right. \\ (e-1)(2-0) \\ 2(e-1)$