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Question Number 126963 by ZiYangLee last updated on 25/Dec/20 $$\mathrm{If}\:\frac{\mathrm{1}}{\mathrm{1}×\mathrm{3}}+\frac{\mathrm{1}}{\mathrm{3}×\mathrm{5}}+\frac{\mathrm{1}}{\mathrm{5}×\mathrm{7}}+\frac{\mathrm{1}}{\mathrm{7}×\mathrm{9}}+\ldots+\frac{\mathrm{1}}{\mathrm{2017}×\mathrm{2019}}=\frac{{x}}{{y}} \\ $$$$\mathrm{where}\:\frac{{x}}{{y}}\:\mathrm{is}\:\mathrm{in}\:\mathrm{its}\:\mathrm{lower}\:\mathrm{terms},\: \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:{x}+{y}. \\ $$ Answered by Olaf last updated on 25/Dec/20 $$\mathrm{S}\:=\:\underset{{n}=\mathrm{0}} {\overset{\mathrm{1008}}…

Question Number 192492 by lordjonathan last updated on 19/May/23 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 126916 by mohammad17 last updated on 25/Dec/20 Commented by mr W last updated on 25/Dec/20 $${p}=\frac{\mathrm{3}!}{\mathrm{4}!}=\frac{\mathrm{1}}{\mathrm{4}} \\ $$ Terms of Service Privacy Policy…

Question Number 126911 by bramlexs22 last updated on 25/Dec/20 Commented by bramlexs22 last updated on 25/Dec/20 $${thanks}\: \\ $$ Commented by bramlexs22 last updated on…

Question Number 126904 by Mustafa2020 last updated on 25/Dec/20 $$\int_{\mathrm{0}} ^{\infty} \frac{{x}}{\mathrm{1}+{x}^{\mathrm{2}} {sin}^{\mathrm{2}} {x}}{dx} \\ $$ Answered by mindispower last updated on 25/Dec/20 $$\geqslant\Sigma\int_{\mathrm{2}{k}\pi} ^{\mathrm{2}{k}\pi+\frac{\pi}{\mathrm{6}}}…