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Question-128892

Question Number 128892 by n0y0n last updated on 11/Jan/21 Commented by mr W last updated on 11/Jan/21 $${r}={distance}\:{from}\:{pedal}\:{point}\:\left(\mathrm{0},\mathrm{0}\right) \\ $$$$\:\:\:\:\:\:\:{to}\:{a}\:{point}\:{C}\left({x},{y}\right)\:{on}\:{a}\:{curve} \\ $$$${p}={distance}\:{from}\:{pedal}\:{point}\:\left(\mathrm{0},\mathrm{0}\right) \\ $$$$\:\:\:\:\:\:\:{to}\:{the}\:{tangent}\:{of}\:{the}\:{curve}\:{at}\:{the} \\…

n-1-1-n-2-k-2-

Question Number 128806 by LUFFY last updated on 10/Jan/21 $$\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\:\frac{\mathrm{1}}{\left({n}^{\mathrm{2}} +{k}^{\mathrm{2}} \right)}\:=\:?????? \\ $$ Answered by Dwaipayan Shikari last updated on 10/Jan/21 $$\underset{{n}=\mathrm{1}}…

Question-128767

Question Number 128767 by LUFFY last updated on 10/Jan/21 Commented by LUFFY last updated on 10/Jan/21 $$\mathrm{ans}\:\frac{\mathrm{1}}{\mathrm{24}}\:\mathrm{but}\:\mathrm{i}\:\mathrm{am}\:\mathrm{getting}\:\frac{\mathrm{1}}{\mathrm{12}} \\ $$ Commented by LUFFY last updated on…

dx-2x-2-12x-9-

Question Number 128752 by naka3546 last updated on 10/Jan/21 $$\int\:\:\frac{{dx}}{\mathrm{2}{x}^{\mathrm{2}} +\mathrm{12}{x}+\mathrm{9}}\:\:=\:\:\:? \\ $$ Answered by mr W last updated on 10/Jan/21 $$\int\frac{{dx}}{\mathrm{2}{x}^{\mathrm{2}} +\mathrm{12}{x}+\mathrm{9}} \\ $$$$=\int\frac{{dx}}{\mathrm{2}\left({x}+\mathrm{3}\right)^{\mathrm{2}}…