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Author: Tinku Tara

Question-69018

Question Number 69018 by Maclaurin Stickker last updated on 17/Sep/19 Commented by Prithwish sen last updated on 18/Sep/19 $$\mathrm{It}\:\mathrm{is}\:\mathrm{only}\:\mathrm{possible}\:\mathrm{when} \\ $$$$\mathrm{4}\boldsymbol{\mathrm{a}}+\mathrm{5}\boldsymbol{\mathrm{b}}+\mathrm{1}=\mathrm{8}\boldsymbol{\mathrm{ab}}+\mathrm{1} \\ $$$$\Rightarrow\mathrm{4}\boldsymbol{\mathrm{a}}+\mathrm{5}\boldsymbol{\mathrm{b}}=\mathrm{8}\boldsymbol{\mathrm{ab}}…………\left(\boldsymbol{\mathrm{i}}\right) \\ $$$$\boldsymbol{\mathrm{and}}…

To-Tinku-Tara-The-Developer-Sir-You-re-going-to-update-this-useful-in-real-sense-precious-app-Taking-advantage-of-this-opportunity-I-suggest-some-revolutionary-changes-if-they-re-possib

Question Number 69010 by Rasheed.Sindhi last updated on 17/Sep/19 $${To}\:{Tinku}\:{Tara},\:{The}\:{Developer} \\ $$$${Sir}, \\ $$$$\:\:\:\:\:\:\:\:\:{You}'{re}\:{going}\:{to}\:{update}\:{this}, \\ $$$$\boldsymbol{{useful}}\:\boldsymbol{{in}}\:\boldsymbol{{real}}\:\boldsymbol{{sense}},\:{precious}\:{app}. \\ $$$${Taking}\:{advantage}\:{of}\:{this}\:{opportunity} \\ $$$${I}\:{suggest}\:{some}\:{revolutionary}\: \\ $$$${changes}\:{if}\:{they}'{re}\:{possible}\:{for}\:{you}. \\ $$$$\bullet{HIDE}/{UNHIDE}\:{DETALS}. \\…

R-0-3a-x-3a-x-x-a-dx-

Question Number 134547 by EDWIN88 last updated on 05/Mar/21 $$\mathscr{R}\:=\:\int_{\mathrm{0}} ^{\:\mathrm{3}{a}} {x}\:\sqrt{\frac{\mathrm{3}{a}−{x}}{{x}+{a}}}\:{dx}\: \\ $$ Answered by liberty last updated on 05/Mar/21 $$\mathrm{by}\:\mathrm{change}\:\mathrm{of}\:\mathrm{variable}\: \\ $$$$\:\mathrm{let}\:\sqrt{\frac{\mathrm{3}{a}−{x}}{{x}+{a}}}\:={h}\:\Rightarrow\:{x}=\frac{−{ah}^{\mathrm{2}} +\mathrm{3}{a}}{{h}^{\mathrm{2}}…