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Question Number 144764 by nonh1 last updated on 29/Jun/21 Answered by liberty last updated on 29/Jun/21 $$\int_{\mathrm{0}} ^{\:\sqrt{\mathrm{ln}\:\mathrm{2}}} \int_{\mathrm{0}} ^{\:\mathrm{1}} \frac{\mathrm{1}}{\mathrm{2}}\mathrm{xe}^{\mathrm{x}^{\mathrm{2}} } \:\left(\frac{\mathrm{d}\left(\mathrm{1}+\mathrm{y}^{\mathrm{2}} \right)}{\mathrm{1}+\mathrm{y}^{\mathrm{2}} }\right)\mathrm{dx}…
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