Question Number 72012 by mathmax by abdo last updated on 23/Oct/19 $${find}\:{f}\left(\alpha\right)\:=\int_{\mathrm{0}} ^{\infty} \:\:\frac{{arctan}\left(\alpha{x}\right)}{\left({x}^{\mathrm{2}} +\mathrm{3}\right)^{\mathrm{2}} }{dx}\:\:{with}\:\alpha\:{real}. \\ $$ Commented by mathmax by abdo last updated…
Question Number 6476 by sanusihammed last updated on 28/Jun/16 Answered by Rasheed Soomro last updated on 28/Jun/16 $${Given}\:{equation}:\:{x}^{\mathrm{2}} −{px}+\mathrm{8}=\mathrm{0} \\ $$$$\:\:\:\:\:{Sum}\:{of}\:{the}\:{roots}\:=−\frac{{coefficient}\:{of}\:{x}}{{coefficient}\:{of}\:{x}^{\mathrm{2}} } \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=−\frac{−{p}}{\mathrm{1}}={p} \\…
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Question Number 6475 by WAI LIN last updated on 28/Jun/16 $${Find}\:{a}\:{solution}\:{of}\:{the}\:{form}\:\emptyset\left({x}\right)={x}^{{r}} \underset{{k}=\mathrm{0}} {\overset{\alpha} {\sum}}{c}_{{k}} {x}^{{k}} \:\left({x}\:>\:\mathrm{0}\right)\:{for}\: \\ $$$${xy}^{''} +\:{y}'\:−\:{y}\:=\:\mathrm{0}. \\ $$ Commented by Yozzii last…
Question Number 72011 by mathmax by abdo last updated on 23/Oct/19 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{ln}\left(\mathrm{3}+{x}^{\mathrm{2}} \right)}{\left({x}^{\mathrm{2}} +\mathrm{1}\right)^{\mathrm{2}} }{dx} \\ $$ Commented by mathmax by abdo last…
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Question Number 137547 by physicstutes last updated on 03/Apr/21 Commented by physicstutes last updated on 03/Apr/21 $$\mathrm{The}\:\mathrm{above}\:\mathrm{figure}\:\mathrm{shows}\:\mathrm{a}\:\mathrm{ray}\:\mathrm{of}\:\mathrm{light}\:\mathrm{of}\:\mathrm{frequency}\:\mathrm{1}.\mathrm{67}\:×\:\mathrm{10}^{\mathrm{12}} \mathrm{Hz}. \\ $$$$\mathrm{It}\:\mathrm{goes}\:\mathrm{from}\:\mathrm{a}\:\mathrm{space}\:\mathrm{of}\:\mathrm{refractive}\:\mathrm{index}\:\mathrm{1}.\mathrm{33},\:\mathrm{to}\:\mathrm{a}\:\mathrm{material}\:\mathrm{of}\:\mathrm{refractive} \\ $$$$\mathrm{index}\:\mathrm{1}.\mathrm{66}\:\mathrm{then}\:\mathrm{finally}\:\mathrm{to}\:\mathrm{another}\:\mathrm{material}\:\mathrm{as}\:\mathrm{shown}. \\ $$$$\:\mathrm{which}\:\mathrm{of}\:\mathrm{the}\:\mathrm{following}\:\mathrm{assertions}\:\mathrm{are}\:\mathrm{correct}\:\mathrm{about}\:\mathrm{the}\:\mathrm{refractive}\:\mathrm{index}\:\mathrm{of}\:\mathrm{the} \\…
Question Number 6468 by Temp last updated on 28/Jun/16 $${I}\left({t}\right)=\int_{\mathrm{0}} ^{\:{t}} {e}^{{i}\pi{x}} {x}^{−{x}} {dx},\:\:{t}\in\mathbb{Z} \\ $$ Commented by Temp last updated on 28/Jun/16 $${I}\left({t}\right)=\int_{\mathrm{0}} ^{\:{t}}…
Question Number 137536 by Mathspace last updated on 03/Apr/21 $${calculte}\:\int_{−\infty} ^{\infty} \:\frac{{sin}\left(\pi{x}^{\mathrm{2}} \right)}{\left({x}^{\mathrm{2}} +\mathrm{2}{x}+\mathrm{2}\right)^{\mathrm{2}} }{dx} \\ $$ Answered by mathmax by abdo last updated on…
Question Number 137538 by Mathspace last updated on 03/Apr/21 $${calculate}\:\int_{−\infty} ^{+\infty} \:\frac{\mathrm{2}{x}+\mathrm{1}}{\left({x}^{\mathrm{4}} −\mathrm{2}{x}^{\mathrm{2}} +\mathrm{3}\right)^{\mathrm{2}} } \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com