Question Number 6204 by sanusihammed last updated on 18/Jun/16 $${Evaluate}\:\:\int_{\mathrm{0}} ^{\mathrm{1}} \:{x}\left(\sqrt{\mathrm{3}{x}\:−\:\mathrm{4}}\right)\:{dx} \\ $$ Answered by FilupSmith last updated on 18/Jun/16 $${u}=\mathrm{3}{x}−\mathrm{4}\:\Rightarrow\:{du}=\mathrm{3}{dx}\:\rightarrow\:{dx}=\frac{\mathrm{1}}{\mathrm{3}}{du} \\ $$$${x}=\frac{\mathrm{1}}{\mathrm{3}}\left({u}+\mathrm{4}\right) \\…
Question Number 71665 by mathmax by abdo last updated on 18/Oct/19 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{dx}}{\left({x}+\mathrm{1}\right)^{\mathrm{2}} \left(\sqrt{{x}^{\mathrm{2}} +\mathrm{4}}\right)} \\ $$ Answered by MJS last updated on 19/Oct/19…
Question Number 137192 by bobhans last updated on 30/Mar/21 $$\int\:\frac{\mathrm{cos}\:\mathrm{x}}{\mathrm{1}+\mathrm{cos}\:\mathrm{x}+\mathrm{sin}\:\mathrm{x}}\:\mathrm{dx}\:=? \\ $$ Answered by bemath last updated on 30/Mar/21 Answered by mathmax by abdo last…
Question Number 71663 by mathmax by abdo last updated on 18/Oct/19 $${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 6118 by sanusihammed last updated on 15/Jun/16 $$\int{x}^{{x}} \:{dx} \\ $$ Commented by FilupSmith last updated on 15/Jun/16 $$\mathrm{ANSWER}: \\ $$$${x}^{{x}} ={e}^{{x}\mathrm{ln}\left({x}\right)} \\…
Question Number 6121 by sanusihammed last updated on 15/Jun/16 $$\int\sqrt{{ln}\left({sinx}\right){dx}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 137185 by metamorfose last updated on 30/Mar/21 $$\int_{\mathrm{1}} ^{{x}} {e}^{\left(\mathrm{1}−{ln}^{\mathrm{2}} {t}\right)^{\frac{\mathrm{1}}{{n}}} } {dt}=…?\:{n}\:{an}\:{integer} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 6116 by sanusihammed last updated on 14/Jun/16 $${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
Question Number 6113 by enigmeyou last updated on 14/Jun/16 $$\int_{\mathrm{0}} ^{\mathrm{100}} {E}\left({x}\right){dx}=? \\ $$$$ \\ $$ Commented by 123456 last updated on 14/Jun/16 $$\mathrm{what}\:\mathrm{is}\:\mathrm{E}\left({x}\right)? \\…
Question Number 137177 by mnjuly1970 last updated on 30/Mar/21 $$\:\:\:\:\:\:\:\:\:\:\:……{advanced}\:\:\:\:\:….\:\:\:\:\:{calculus}…. \\ $$$$\:\:\:\:\:\:\:\Phi=\underset{{k}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\psi'\left({k}\right)}{{k}}\:=\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{{a}}{{n}^{{b}} } \\ $$$$\:\:\:\:\:\:{a}\:,\:{b}\:=??\:\left({adapted}\:{from}\:{brilliant}\right) \\ $$$$\:\:\:\:\:\:\:……………. \\ $$$$\:\:\:\:\:\:\:\psi\left({k}\right)\overset{??} {=}−\gamma+\int_{\mathrm{0}} ^{\:\mathrm{1}}…