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Question Number 213844 by universe last updated on 18/Nov/24 $$\:\int_{−\mathrm{1}} ^{\mathrm{1}} \int_{\mathrm{0}} ^{\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }} \int_{\sqrt{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} }} ^{\sqrt{\mathrm{2}−{x}^{\mathrm{2}} −{y}^{\mathrm{2}} }} \sqrt{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} +{z}^{\mathrm{2}} }\:{dzdydx} \…
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Question Number 213759 by Spillover last updated on 15/Nov/24 Answered by MrGaster last updated on 06/Feb/25 $$=\int_{\mathrm{0}} ^{\infty} \frac{\mathrm{1}}{\frac{{e}^{{nx}} −\mathrm{1}}{{e}^{{x}} −\mathrm{1}}}{dx}=\int_{\mathrm{0}} ^{\infty} \frac{{e}^{{x}} −\mathrm{1}}{{e}^{{nx}} −\mathrm{1}}{dx}…
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