Question Number 151753 by Integrals last updated on 22/Aug/21 Commented by puissant last updated on 22/Aug/21 $${K}=\int\sqrt{{x}}{e}^{\sqrt{{x}}} {dx} \\ $$$${u}=\sqrt{{x}}\rightarrow\:{u}^{\mathrm{2}} ={x}\:\rightarrow\:{dx}=\mathrm{2}{udu} \\ $$$${K}=\mathrm{2}\int{u}^{\mathrm{2}} {e}^{{u}} {du}…
Question Number 86214 by sakeefhasan05@gmail.com last updated on 27/Mar/20 Commented by sakeefhasan05@gmail.com last updated on 27/Mar/20 $$\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{solution}\:\mathrm{of}\:\mathrm{this}??? \\ $$ Commented by Kunal12588 last updated on…
Question Number 20666 by NECx last updated on 31/Aug/17 $$\int\mathrm{cot}\:^{\mathrm{4}} {xdx} \\ $$ Answered by Joel577 last updated on 31/Aug/17 $$\mathrm{cosec}^{\mathrm{2}} \:{x}\:−\:\mathrm{cot}^{\mathrm{2}} \:{x}\:=\:\mathrm{1} \\ $$$${I}\:=\:\int\:\mathrm{cot}^{\mathrm{2}}…
Question Number 20664 by ajfour last updated on 31/Aug/17 $${In}\:{what}\:{time}\:{shall}\:{a}\:{carpet}\:{of} \\ $$$${length}\:\boldsymbol{{l}}\:{and}\:{radius}\:\boldsymbol{{R}}\:{unroll}\:{on} \\ $$$${a}\:{flat}\:{rough}\:{ground}\:{if}\:{given}\:{a}\: \\ $$$${little}\:{push}\:{to}\:{start}\:{the}\:{motion}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 151739 by talminator2856791 last updated on 22/Aug/21 $$\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\int_{\mathrm{0}} ^{\:\infty} \:\frac{\mathrm{ln}\left({x}\right)}{\:\sqrt{{x}^{{x}} +\mathrm{1}}}\:{dx} \\ $$$$\: \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 86167 by jagoll last updated on 27/Mar/20 $$\underset{\mathrm{0}} {\overset{\frac{\pi}{\mathrm{2}}} {\int}}\:\frac{\mathrm{arc}\:\mathrm{tan}\:\left(\sqrt{\mathrm{tan}\:\mathrm{x}}\right)}{\mathrm{tan}\:\mathrm{x}}\:\mathrm{dx}\: \\ $$ Commented by mathmax by abdo last updated on 27/Mar/20 $${let}\:{take}\:{a}\:{try} \\…
Question Number 20612 by ajfour last updated on 29/Aug/17 $${Evaluate}\:\int_{\mathrm{0}} ^{\:\:\infty} \int_{\mathrm{0}} ^{\:\:\infty} {e}^{−\left({x}^{\mathrm{2}} +{y}^{\mathrm{2}} \right)} {dydx}\:. \\ $$ Answered by ajfour last updated on…
Question Number 86138 by jagoll last updated on 27/Mar/20 $$\int\underset{−\mathrm{4}} {\overset{\mathrm{8}} {\:}}\:\frac{\mid\mathrm{x}\mid}{\mathrm{x}}\:\mathrm{dx}\:=\:? \\ $$ Commented by Prithwish Sen 1 last updated on 27/Mar/20 $$\mathrm{l}\underset{\epsilon\rightarrow\mathrm{0}} {\mathrm{t}}\:\left\{\int_{−\mathrm{4}}…
Question Number 86094 by M±th+et£s last updated on 27/Mar/20 $$\mathrm{2}\int\sqrt{{x}^{\mathrm{3}} +\mathrm{4}}\:{dx} \\ $$ Commented by redmiiuser last updated on 27/Mar/20 $${sir}\:{please}\:{check}\:{my}\: \\ $$$${answer} \\ $$…
Question Number 86091 by jagoll last updated on 27/Mar/20 $$\int\:\frac{\mathrm{sin}\:\mathrm{x}−\mathrm{cos}\:\mathrm{x}}{\:\sqrt{\mathrm{sin}\:\mathrm{2x}}}\:\mathrm{dx} \\ $$ Commented by john santu last updated on 27/Mar/20 $${in}\:{other}\:{way} \\ $$$$\int\:−\frac{{d}\left(\mathrm{sin}\:{x}+\mathrm{cos}\:{x}\right)}{\:\sqrt{\left(\mathrm{sin}\:{x}+\mathrm{cos}\:{x}\right)^{\mathrm{2}} −\mathrm{1}}}\: \\…