Question Number 152856 by Olaf_Thorendsen last updated on 02/Sep/21 $$\mathrm{Monsieur}\:\mathrm{Puissant},\:\mathrm{je}\:\mathrm{quitte}\:\mathrm{ce}\:\mathrm{forum} \\ $$$$\mathrm{math}\acute {\mathrm{e}matique}\:\mathrm{d}\acute {\mathrm{e}finitivement}\:\mathrm{mais} \\ $$$$\mathrm{sans}\:\mathrm{avoir}\:\mathrm{dit}\:\mathrm{que}\:\mathrm{j}'\mathrm{ai}\:\mathrm{ador}\acute {\mathrm{e}}\:\acute {\mathrm{e}changer} \\ $$$$\mathrm{avec}\:\mathrm{vous}. \\ $$$$ \\ $$$$\mathrm{Bonne}\:\mathrm{continuation}\:\mathrm{et}\:\mathrm{vive}\:\mathrm{les} \\…
Question Number 152848 by 0731619 last updated on 02/Sep/21 Commented by hknkrc46 last updated on 02/Sep/21 $$\boldsymbol{{Wrong}}\:!!! \\ $$$$\sqrt{\mathrm{12}}\:+\:\cancel{\sqrt{\mathrm{18}}}\:\rightarrow\:\sqrt{\mathrm{12}}\:+\:\sqrt{\mathrm{16}} \\ $$ Commented by hknkrc46 last…
Question Number 152841 by 0731619 last updated on 02/Sep/21 Answered by bobhans last updated on 02/Sep/21 $$\left(\mathrm{2}\right)\frac{\mathrm{1}}{\mathrm{4}}\int\:\mathrm{sin}\:^{\mathrm{2}} \left(\mathrm{2}{x}\right)\:{dx}\:= \\ $$$$\:\:\:\:\:\:\frac{\mathrm{1}}{\mathrm{4}}\int\:\frac{\mathrm{1}−\mathrm{cos}\:\left(\mathrm{4}{x}\right)}{\mathrm{2}}\:{dx}\:= \\ $$$$\:\:\:\:\:\:\frac{\mathrm{1}}{\mathrm{4}}\left(\frac{{x}}{\mathrm{2}}−\frac{\mathrm{1}}{\mathrm{8}}\mathrm{sin}\:\left(\mathrm{4}{x}\right)\right)+\:{c}\:= \\ $$$$\:\:\:\:\:\frac{{x}}{\mathrm{8}}−\frac{\mathrm{sin}\:\left(\mathrm{4}{x}\right)}{\mathrm{32}}\:+\:{c} \\…
Question Number 152817 by rexford last updated on 01/Sep/21 $$ \\ $$$${Find}\:{the}\:{coefficient}\:{of} \\ $$$$\mathrm{1}.{x}^{\mathrm{20}\:} {in}\:\left(\mathrm{1}−{x}+{x}^{\mathrm{2}} \right)^{\mathrm{20}} \\ $$$$ \\ $$$$\mathrm{2}.{x}^{\mathrm{4}} \:{in}\:\left(\mathrm{1}+{x}+{x}^{\mathrm{2}} +{x}^{\mathrm{3}} \right)_{} ^{\mathrm{11}} \\…
Question Number 152805 by mathlove last updated on 01/Sep/21 Answered by MJS_new last updated on 01/Sep/21 $${x}\geqslant\mathrm{0} \\ $$$$\mathrm{3ln}\:\mathrm{2}\:{x}=\mathrm{7ln}\:\mathrm{2}\:\sqrt{{x}} \\ $$$$\mathrm{3}{x}=\mathrm{7}\sqrt{{x}} \\ $$$${x}=\mathrm{0}\vee{x}=\frac{\mathrm{49}}{\mathrm{9}} \\ $$…
Question Number 152801 by SANOGO last updated on 01/Sep/21 $${resouds} \\ $$$$\mid\mathrm{1}−{x}\mid{y}'+{xy}={x} \\ $$ Commented by mathmax by abdo last updated on 02/Sep/21 $$\mathrm{case}\:\mathrm{1}\:\:\mathrm{if}\:\mathrm{x}>\mathrm{1}\:\:\:\mathrm{e}\:\Rightarrow\left(\mathrm{x}−\mathrm{1}\right)\mathrm{y}^{,} \:+\mathrm{xy}=\mathrm{x}\:\:\left(\mathrm{e}\right)…
Question Number 21722 by mondodotto@gmail.com last updated on 02/Oct/17 Answered by mrW1 last updated on 02/Oct/17 $$\mathrm{cos}^{\mathrm{2}} \:\mathrm{x}+\mathrm{3sin}\:\mathrm{2x}=\mathrm{2} \\ $$$$\mathrm{2cos}^{\mathrm{2}} \:\mathrm{x}+\mathrm{6sin}\:\mathrm{2x}=\mathrm{4} \\ $$$$\mathrm{2cos}^{\mathrm{2}} \:\mathrm{x}−\mathrm{1}+\mathrm{6sin}\:\mathrm{2x}=\mathrm{3} \\…
Question Number 152793 by 7770 last updated on 01/Sep/21 $$\:\int!\boldsymbol{{dx}} \\ $$$$ \\ $$$$\:\boldsymbol{{i}}\:\boldsymbol{{found}}\:\:\boldsymbol{{this}}\:\boldsymbol{{question}}\:\boldsymbol{{somewhere}} \\ $$$$\:\boldsymbol{{and}}\:\boldsymbol{{i}}\:\boldsymbol{{dont}}\:\boldsymbol{{know}}\:\boldsymbol{{even}}\:\boldsymbol{{know}}\:\boldsymbol{{how}}\:\boldsymbol{{to}} \\ $$$$\boldsymbol{{approach}}\:\boldsymbol{{it}}. \\ $$ Commented by MJS_new last updated…
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Question Number 87245 by redmiiuser last updated on 03/Apr/20 $${expand}\: \\ $$$$\left(\mathrm{1}+{x}\right)^{−\mathrm{1}} \\ $$$${using}\:{maclaurins} \\ $$$${theorem}\:{and}\:{talyors} \\ $$$${formula} \\ $$ Commented by jagoll last updated…