Question Number 136930 by I want to learn more last updated on 27/Mar/21 Commented by I want to learn more last updated on 27/Mar/21 Commented…
Question Number 5855 by sanusihammed last updated on 01/Jun/16 $${If}\:\:\:{xy}^{\mathrm{3}\:} \:=\:\:{sin}\left({xy}\right) \\ $$$$ \\ $$$${find}\:\:\:\:\frac{{d}^{\mathrm{2}} {y}}{{dx}^{\mathrm{2}} } \\ $$$$ \\ $$$${Please}\:{i}\:{need}\:{help}.\:{thanks}\:{for}\:{your}\:{effort} \\ $$ Answered by…
Question Number 136921 by mnjuly1970 last updated on 27/Mar/21 $$\:\:\:\:\:{evaluation}\:{of}\:::\:\boldsymbol{\phi}=\int_{\mathrm{0}} ^{\:\mathrm{1}} \frac{{xln}\left(\mathrm{1}+{x}\right)}{\mathrm{1}+{x}^{\mathrm{2}} }{dx} \\ $$$$\:\:{solution}: \\ $$$$\:\:\:\:\boldsymbol{\phi}\overset{{I}.{B}.{P}\:} {=}\left[\frac{\mathrm{1}}{\mathrm{2}}{ln}\left(\mathrm{1}+{x}^{\mathrm{2}} \right){ln}\left(\mathrm{1}+{x}\right)\right]_{\mathrm{0}} ^{\mathrm{1}} −\frac{\mathrm{1}}{\mathrm{2}}\left\{\int_{\mathrm{0}} ^{\:\mathrm{1}} \frac{{ln}\left(\mathrm{1}+{x}^{\mathrm{2}} \right)}{\mathrm{1}+{x}}{dx}=\boldsymbol{\Phi}\right\} \\…
Question Number 5851 by sanusihammed last updated on 01/Jun/16 $${Solve}\:{simultaneously} \\ $$$$ \\ $$$$\mathrm{2}{x}\:+\:{y}\:−\:{z}\:=\:\mathrm{8}\:\:\:\:………\:\left({i}\right) \\ $$$${x}^{\mathrm{2}} \:−\:{y}^{\mathrm{2}} \:+\:\mathrm{2}{z}^{\mathrm{2}} \:=\:\mathrm{14}\:\:\:\:………\:\left({ii}\right) \\ $$$$\mathrm{3}{x}^{\mathrm{3}} \:+\:\mathrm{4}{y}^{\mathrm{3}} \:+\:{z}^{\mathrm{3}} \:=\:\mathrm{195}\:\:\:\:………..\:\left({iii}\right) \\…
Question Number 136922 by malwan last updated on 27/Mar/21 $$\int\:{ln}\mid{tan}^{−\mathrm{1}} {x}\mid\:{dx}\:=\:? \\ $$ Answered by Olaf last updated on 27/Mar/21 $$\mathrm{F}\left({x}\right)\:=\:\int\mathrm{ln}\mid\mathrm{atan}{x}\mid\:{dx} \\ $$$$\mathrm{Let}\:{u}\:=\:\mathrm{atan}{x} \\ $$$$\mathrm{F}\left({u}\right)\:=\:\int\mathrm{ln}\mid{u}\mid\left(\mathrm{1}+\mathrm{tan}^{\mathrm{2}}…
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Question Number 5843 by Rojaye Shegz last updated on 31/May/16 Commented by Rojaye Shegz last updated on 31/May/16 $${What}\:{is}\:{wrong}\:{here}? \\ $$ Commented by Yozzii last…
Question Number 5838 by gourav~ last updated on 31/May/16 $$\int\frac{\mathrm{1}}{\mathrm{1}+\mathrm{cot}\:{x}}{dx} \\ $$ Commented by Yozzii last updated on 31/May/16 $$\frac{\mathrm{1}}{\mathrm{1}+{cotx}}=\frac{{sinx}}{{cosx}+{sinx}} \\ $$$${Let}\:{t}={tan}\mathrm{0}.\mathrm{5}{x}\Rightarrow{dt}=\mathrm{0}.\mathrm{5}{sec}^{\mathrm{2}} \mathrm{0}.\mathrm{5}{dx} \\ $$$${dx}=\frac{\mathrm{2}}{\mathrm{1}+{t}^{\mathrm{2}}…
Question Number 136910 by leena12345 last updated on 27/Mar/21 $${use}−{cylindrical}−{shells}−{to}−{find}−{volume} \\ $$$${y}={x}^{\mathrm{3}} /{y}=\mathrm{8}/{about}−{x}=\mathrm{9} \\ $$$$ \\ $$ Answered by liberty last updated on 27/Mar/21 $$\mathrm{Vol}\:=\:\mathrm{2}\pi\int_{\mathrm{0}}…
Question Number 136905 by leena12345 last updated on 27/Mar/21 $$\underset{\mathrm{0}} {\overset{\mathrm{3}} {\int}}\frac{\mathrm{56}}{{x}^{\mathrm{2}} −\mathrm{6}{x}+\mathrm{5}}{dx} \\ $$ Answered by Mathspace last updated on 27/Mar/21 $$\Psi=\int_{\mathrm{0}} ^{\mathrm{3}} \:\frac{\mathrm{56}}{{x}^{\mathrm{2}}…