Question Number 187835 by pascal889 last updated on 22/Feb/23 Commented by Frix last updated on 22/Feb/23 $$\sqrt{{x}−{a}}+\sqrt{{x}−{b}}=\sqrt{{c}} \\ $$$${x}=\frac{\left({a}−{b}\right)^{\mathrm{2}} }{\mathrm{4}{c}}+\frac{{a}+{b}}{\mathrm{2}}+\frac{{c}}{\mathrm{4}} \\ $$ Answered by HeferH…
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Question Number 56664 by tanmay.chaudhury50@gmail.com last updated on 20/Mar/19 Commented by ajfour last updated on 20/Mar/19 $$\mathrm{seven}-\mathrm{fifth}\:\mathrm{of}\:\mathrm{the}\:\mathrm{total}\:\mathrm{population} \\ $$$$\mathrm{do}\:\mathrm{not}\:\mathrm{understand}\:\mathrm{fractions}! \\ $$ Commented by tanmay.chaudhury50@gmail.com last…
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Question Number 56660 by tanmay.chaudhury50@gmail.com last updated on 20/Mar/19 Commented by kaivan.ahmadi last updated on 20/Mar/19 $${can}\:{you}\:{proof}\:{it}\:{sir}? \\ $$ Commented by tanmay.chaudhury50@gmail.com last updated on…
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Question Number 187713 by Noorzai last updated on 20/Feb/23 Commented by Noorzai last updated on 20/Feb/23 $${please}\:{soluation} \\ $$ Answered by mahdipoor last updated on…
Question Number 122176 by Dwaipayan Shikari last updated on 14/Nov/20 $$\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \sqrt[{\mathrm{7}}]{{tanx}}\:{dx} \\ $$ Commented by Dwaipayan Shikari last updated on 14/Nov/20 $${I}\:{have}\:{found}\:\frac{\pi}{\mathrm{2}}{cosec}\left(\frac{\mathrm{3}\pi}{\mathrm{7}}\right) \\…
Question Number 187662 by Jonas007 last updated on 20/Feb/23 Answered by Ar Brandon last updated on 20/Feb/23 $${I}=\int\frac{{x}^{\mathrm{2}} }{\left({x}\mathrm{sin}{x}+\mathrm{cos}{x}\right)^{\mathrm{2}} }{dx}=\int\frac{{x}\mathrm{cos}{x}}{\left({x}\mathrm{sin}{x}+\mathrm{cos}{x}\right)^{\mathrm{2}} }\centerdot\frac{{x}}{\mathrm{cos}{x}}{dx} \\ $$$$\begin{cases}{\mathrm{u}\left({x}\right)=\frac{{x}}{\mathrm{cos}{x}}}\\{\mathrm{v}'\left({x}\right)=\frac{{x}\mathrm{cos}{x}}{\left({x}\mathrm{sin}{x}+\mathrm{cos}{x}\right)^{\mathrm{2}} }}\end{cases}\:\Rightarrow\begin{cases}{\mathrm{u}'\left({x}\right)=\frac{\mathrm{cos}{x}+{x}\mathrm{sin}{x}}{\mathrm{cos}^{\mathrm{2}} {x}}}\\{\mathrm{v}\left({x}\right)=−\frac{\mathrm{1}}{{x}\mathrm{sin}{x}+\mathrm{cos}{x}}}\end{cases}…