Question Number 71665 by mathmax by abdo last updated on 18/Oct/19 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{dx}}{\left({x}+\mathrm{1}\right)^{\mathrm{2}} \left(\sqrt{{x}^{\mathrm{2}} +\mathrm{4}}\right)} \\ $$ Answered by MJS last updated on 19/Oct/19…
Question Number 137197 by Fikret last updated on 30/Mar/21 $$\alpha\:,\:\beta\:\epsilon\:\left(\mathrm{0}\:,\:\frac{\pi}{\mathrm{2}}\right) \\ $$$${tan}^{\mathrm{2}} \alpha\:=\:\mathrm{1}+\mathrm{2}{tan}^{\mathrm{2}} \beta\:\:\Rightarrow\sqrt{\mathrm{2}}{cos}\alpha−{cos}\beta=? \\ $$ Answered by MJS_new last updated on 31/Mar/21 $$\mathrm{cos}\:{x}\:=\frac{\mathrm{1}}{\:\sqrt{\mathrm{1}+\mathrm{tan}^{\mathrm{2}} \:{x}}}…
Question Number 71663 by mathmax by abdo last updated on 18/Oct/19 $${calculate}\:{A}_{{n}} =\int_{\mathrm{0}} ^{\infty} \:\frac{{dx}}{\left({x}^{\mathrm{2}} +\mathrm{1}\right)\left({x}^{\mathrm{2}} +\mathrm{2}\right)….\left({x}^{\mathrm{2}} \:+{n}\right)} \\ $$$${with}\:{n}\:{integr}\:{and}\:{n}\geqslant\mathrm{1} \\ $$ Commented by mathmax…
Question Number 137192 by bobhans last updated on 30/Mar/21 $$\int\:\frac{\mathrm{cos}\:\mathrm{x}}{\mathrm{1}+\mathrm{cos}\:\mathrm{x}+\mathrm{sin}\:\mathrm{x}}\:\mathrm{dx}\:=? \\ $$ Answered by bemath last updated on 30/Mar/21 Answered by mathmax by abdo last…
Question Number 6121 by sanusihammed last updated on 15/Jun/16 $$\int\sqrt{{ln}\left({sinx}\right){dx}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 137189 by rexford last updated on 30/Mar/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 6118 by sanusihammed last updated on 15/Jun/16 $$\int{x}^{{x}} \:{dx} \\ $$ Commented by FilupSmith last updated on 15/Jun/16 $$\mathrm{ANSWER}: \\ $$$${x}^{{x}} ={e}^{{x}\mathrm{ln}\left({x}\right)} \\…
Question Number 137191 by Dwaipayan Shikari last updated on 30/Mar/21 $${Some}\:{useful}\:{approximations}\:{of}\:{sine}\:{function} \\ $$$${sin}\left(\frac{\pi}{\mathrm{7}}\right)=\frac{\mathrm{96}}{\mathrm{221}} \\ $$$${sin}\left(\frac{\pi}{\mathrm{9}}\right)=\frac{\mathrm{128}}{\mathrm{373}} \\ $$$${sin}\left(\frac{\pi}{\mathrm{11}}\right)=\frac{\mathrm{32}}{\mathrm{113}} \\ $$$$… \\ $$$${I}\:{am}\:{counting}\:{more}\:..{thanking}\:{you}! \\ $$ Terms of…
Question Number 137190 by mnjuly1970 last updated on 30/Mar/21 $$\:\:\:\:\:\:\:\:\:\:\:\:\:\:….{advanced}\:…….\:\:{calculus}….. \\ $$$$\:\:\:\:\:\:\:\:{prove}\:{that}::: \\ $$$$\boldsymbol{\phi}=\int_{\mathrm{0}} ^{\:\mathrm{1}} {ln}\left({ln}\left(\frac{\mathrm{1}}{{x}}\right)\right).\frac{{dx}}{\:\sqrt{{ln}\left(\frac{\mathrm{1}}{{x}}\right)}}\:=−\sqrt{\pi}\:\left(\gamma+{ln}\left(\mathrm{4}\right)\right) \\ $$$$ \\ $$ Answered by Dwaipayan Shikari last…
Question Number 6116 by sanusihammed last updated on 14/Jun/16 $${Integrate}\:\:\:\left[\mathrm{1}\:+\:\left({tanx}\right)^{{a}} \right]^{−\mathrm{1}} \:\:{dx} \\ $$$$ \\ $$$${For}\:\:\mathrm{0}\:<\:{x}\:<\:\:\Pi/\mathrm{2} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com