Question Number 43490 by peter frank last updated on 11/Sep/18 $$\boldsymbol{\mathrm{evaluate}} \\ $$$$\int\sqrt{\boldsymbol{\mathrm{tan}\theta}\:\boldsymbol{\mathrm{d}}\theta} \\ $$ Commented by maxmathsup by imad last updated on 11/Sep/18 $${let}\:{I}\:=\int\:\sqrt{{tan}\theta}{d}\theta\:\:\:\:{changement}\:\sqrt{{tan}\theta}\:={x}\:{give}\:{tan}\theta={x}^{\mathrm{2}}…
Question Number 174548 by mnjuly1970 last updated on 03/Aug/22 $$ \\ $$$$\boldsymbol{{Evaluate}}\:. \\ $$$$\:\:\boldsymbol{\Omega}\:=\:\int_{\mathrm{0}} ^{\:\mathrm{2}} \frac{\:\:\boldsymbol{{e}}^{\:\boldsymbol{{x}}} }{\boldsymbol{{e}}^{\:\mathrm{1}−\boldsymbol{{x}}} +\:\boldsymbol{{e}}^{\:\boldsymbol{{x}}−\mathrm{1}} }\:\boldsymbol{{dx}}=\:? \\ $$$$\:\:\:\: \\ $$ Answered by…
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Question Number 108990 by shahria14 last updated on 20/Aug/20 Answered by bobhans last updated on 20/Aug/20 $$\:\:\:\:\:\frac{\flat{o}\flat{hans}}{\varsigma−−−−\varsigma} \\ $$$$\:{set}\:{x}−\mathrm{1}=\:\flat\:\rightarrow\begin{cases}{{x}=\mathrm{5}\:\rightarrow\flat=\mathrm{4}}\\{{x}=\mathrm{1}\rightarrow\flat=\mathrm{0}}\end{cases};\:{dx}\:=\:{d}\flat \\ $$$$\underset{\mathrm{1}} {\overset{\mathrm{5}} {\int}}{f}\left({x}−\mathrm{1}\right){dx}\:=\:\underset{\mathrm{0}} {\overset{\mathrm{4}} {\int}}\:{f}\left(\flat\right)\:{d}\flat\:=\:\mathrm{0}…
Question Number 108954 by mnjuly1970 last updated on 20/Aug/20 $$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathscr{E}{valuate}\:: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\Omega=\int_{\mathrm{0}} ^{\:\mathrm{1}} \int_{\mathrm{0}} ^{\:\mathrm{1}} \frac{\mathrm{1}}{\mathrm{2}−{x}^{\mathrm{2}} \:−\:{y}^{\mathrm{2}} }\:{dxdy}=???\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\bigstar\bigstar\clubsuit\clubsuit\bigstar\bigstar \\ $$$$ \\ $$ Commented…
Question Number 43418 by Raj Singh last updated on 10/Sep/18 Answered by tanmay.chaudhury50@gmail.com last updated on 10/Sep/18 $$\int\frac{{cosxdx}}{{sinxcosx}+\mathrm{1}} \\ $$$$\int\frac{\mathrm{2}{cosx}}{\mathrm{2}{cosxsinx}+\mathrm{2}}{dx} \\ $$$$\int\frac{{cosx}+{sinx}+{cosx}−{sinx}}{\mathrm{1}+\left({sinx}+{cosx}\right)^{\mathrm{2}} }{dx} \\ $$$$\int\frac{{cosx}−{sinx}}{\mathrm{1}+\left({sinx}+{cosx}\right)^{\mathrm{2}}…
Question Number 43419 by Raj Singh last updated on 10/Sep/18 Commented by maxmathsup by imad last updated on 10/Sep/18 $${let}\:{A}\:=\:\int\:\:\frac{{xdx}}{\left({x}−\mathrm{1}\right)\left({x}^{\mathrm{2}} +\mathrm{1}\right)^{\mathrm{2}} } \\ $$$${A}\:=\:\int\:\:\frac{{x}−\mathrm{1}+\mathrm{1}}{\left({x}−\mathrm{1}\right)\left({x}^{\mathrm{2}} \:+\mathrm{1}\right)^{\mathrm{2}}…
Question Number 43417 by Raj Singh last updated on 10/Sep/18 Commented by alex041103 last updated on 10/Sep/18 $${is}\:{that}\:\sqrt[{{x}}]{{x}^{{n}} +{a}^{{n}} } \\ $$ Commented by maxmathsup…
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Question Number 43386 by ajfour last updated on 10/Sep/18 Commented by ajfour last updated on 10/Sep/18 $${If}\:{the}\:{two}\:{differently}\:{shaded} \\ $$$${areas}\:{are}\:{equal},\:{find}\:{slope}\:\boldsymbol{{m}}\:{of} \\ $$$${line},\:{in}\:{terms}\:{of}\:\boldsymbol{{a}}. \\ $$ Commented by…