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Proving the Double Integral Problem: Reversing the Order of Integration
Oh of course, thank you very much for your help.- cholyoake
- Post #3
- Forum: Calculus and Beyond Homework Help
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C
Proving the Double Integral Problem: Reversing the Order of Integration
The question is: Show that: \int_0^1\int_x^1e^\frac{x}{y}dydx=\frac{1}{2}(e-1) I've tried reversing the order of integration then solving from there: \int_0^1\int_y^1 e^{\frac{x}{y}}dxdy =\int_0^1[ye^\frac{x}{y}]_y^1dy =\int_0^1ye^\frac{1}{y}-ye^1dy But I can't integrate...- cholyoake
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- Double integral Integral
- Replies: 9
- Forum: Calculus and Beyond Homework Help