Question Number 136572 by mnjuly1970 last updated on 23/Mar/21 $$\:\:\:\:\:\:\:\:\:\:\:\:\:….{advanced}\:\:\:\:{calculus}…. \\ $$$$\:\:\:\:\:\:\:\:\boldsymbol{\phi}=\int_{\mathrm{0}} ^{\:\frac{\pi}{\mathrm{2}}} {x}.\left({tan}\left({x}\right)\right)^{\frac{\mathrm{1}}{\mathrm{2}}} {dx}=?? \\ $$$$ \\ $$ Commented by Olaf last updated on…
Question Number 5487 by love math last updated on 16/May/16 $$\int{sin}\:{x}\:{ln}\:\left({tan}\:{x}\right)\:{dx} \\ $$$$ \\ $$$$\int{x}^{{n}} {ln}\:{x}\:{dx}\:\:\:\:\:\:\:\:\:\left({n}\neq−\mathrm{1}\right) \\ $$$$ \\ $$$$\int\frac{{x}^{\mathrm{2}} }{\:\sqrt{{x}^{\mathrm{2}} −\mathrm{2}}}{dx} \\ $$$$ \\…
Question Number 5486 by love math last updated on 16/May/16 $$\int{sin}\:{x}\:{ln}\:\left({tan}\:{x}\right)\:{dx} \\ $$$$ \\ $$$$\int{x}^{{n}} {ln}\:{x}\:{dx}\:\:\:\:\:\:\:\:\:\left({n}\neq−\mathrm{1}\right) \\ $$$$ \\ $$$$\int\frac{{x}^{\mathrm{2}} }{\:\sqrt{{x}^{\mathrm{2}} −\mathrm{2}}}{dx} \\ $$$$ \\…
Question Number 71014 by mathmax by abdo last updated on 10/Oct/19 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:{e}^{−\left({x}^{\mathrm{2}} \:+\frac{\mathrm{1}}{{x}^{\mathrm{2}} }\right)} {dx} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 5476 by love math last updated on 15/May/16 $$\int\frac{\mathrm{2}^{{x}} \mathrm{3}^{{x}} }{\mathrm{9}^{{x}} −\mathrm{4}^{{x}} }{dx} \\ $$$$ \\ $$$$\int\frac{{dx}}{\left(\mathrm{1}+{x}\right)\sqrt{{x}}} \\ $$ Answered by Yozzii last…
Question Number 136497 by mnjuly1970 last updated on 22/Mar/21 $$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:……{nice}\:\:\:\:{calculus}….. \\ $$$$\:\:\:\:{prove}::\:\: \\ $$$$\:\:\:\:\:\:\:\int_{\mathrm{0}} ^{\:\mathrm{1}} \frac{\mathrm{1}}{\mathrm{1}+{ln}^{\mathrm{2}} \left({x}\right)}{dx}=\int_{\mathrm{0}\:} ^{\:\infty} \frac{{sin}\left({x}\right)}{\mathrm{1}+{x}}{dx} \\ $$$$ \\ $$ Commented by…
Question Number 5422 by love math last updated on 14/May/16 $$\int_{\mathrm{0}} ^{\frac{\mathrm{7}}{\mathrm{2}}} \left({x}+\mathrm{1}\right)\left(\mathrm{2}{x}+\mathrm{1}\right)^{\frac{\mathrm{1}}{\mathrm{3}}} {dx} \\ $$ Answered by nchejane last updated on 14/May/16 $$=\left[\frac{\mathrm{3}}{\mathrm{8}}\left({x}+\mathrm{1}\right)\left(\mathrm{2}{x}+\mathrm{1}\right)^{\frac{\mathrm{4}}{\mathrm{3}}} \right]_{\mathrm{0}}…
Question Number 5425 by love math last updated on 14/May/16 $$\int_{\mathrm{1}} ^{\mathrm{3}} {ln}\left(\mathrm{3}{x}−\mathrm{2}\right){dx} \\ $$ Answered by nchejane last updated on 14/May/16 $$\left[{xln}\left(\mathrm{3}{x}−\mathrm{2}\right)\right]_{\mathrm{1}} ^{\mathrm{3}} −\mathrm{3}\int_{\mathrm{1}}…
Question Number 5421 by love math last updated on 14/May/16 $$\int_{\mathrm{0}} ^{\mathrm{2}} \:{xe}^{{x}^{\mathrm{2}} } {dx} \\ $$ Answered by nchejane last updated on 14/May/16 $$=\left[\frac{\mathrm{1}}{\mathrm{2}}{e}^{{x}^{\mathrm{2}}…
Question Number 136481 by BHOOPENDRA last updated on 22/Mar/21 $$\int_{\mathrm{0}} ^{\frac{\mathrm{50}\pi}{\mathrm{3}}} \mid{sinx}\mid{dx} \\ $$ Answered by MJS_new last updated on 22/Mar/21 $$\underset{\mathrm{0}} {\overset{\mathrm{50}\pi/\mathrm{3}} {\int}}\mid\mathrm{sin}\:{x}\mid{dx}=\mathrm{33}\underset{\mathrm{0}} {\overset{\pi/\mathrm{2}}…