Menu Close

Category: Integration

calculus-Please-Evaluate-0-pi-2-x-sin-x-2-dx-M-N-july-1970-

Question Number 112579 by mnjuly1970 last updated on 08/Sep/20 $$\:\:\:\:\:\:\:\:….\:{calculus}\:…. \\ $$$$\mathscr{P}{lease}\:\:\mathscr{E}{valuate}\:::: \\ $$$$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\Omega\:=\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \left(\frac{{x}}{{sin}\left({x}\right)}\right)^{\mathrm{2}} {dx}\:=???\:\:\:\:\:\:\: \\ $$$$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\mathscr{M}.\mathscr{N}.{july}\:\mathrm{1970}# \\ $$$$\:…

find-x-2-x-1-dx-

Question Number 47018 by maxmathsup by imad last updated on 03/Nov/18 $${find}\:\int\:\sqrt{{x}+\mathrm{2}−\sqrt{{x}−\mathrm{1}}}{dx} \\ $$ Commented by maxmathsup by imad last updated on 04/Nov/18 $${let}\:{A}\:=\:\int\sqrt{{x}+\mathrm{2}−\sqrt{{x}−\mathrm{1}}}{dx}\:\:{changement}\:\sqrt{{x}−\mathrm{1}}={t}\:{give} \\…

sin-2x-1-cos-2-x-dx-

Question Number 112481 by bemath last updated on 08/Sep/20 $$\:\int\:\frac{\mathrm{sin}\:\mathrm{2x}}{\:\sqrt{\mathrm{1}+\mathrm{cos}\:^{\mathrm{2}} \mathrm{x}}}\:\mathrm{dx}\: \\ $$ Answered by john santu last updated on 08/Sep/20 $$\:\:\int\:\frac{\mathrm{2sin}\:{x}\:\mathrm{cos}\:{x}}{\:\sqrt{\mathrm{1}+\mathrm{cos}\:^{\mathrm{2}} {x}}}\:{dx}\:=\:\int−\:\frac{\mathrm{2}{u}\:{du}}{\:\sqrt{\mathrm{1}+{u}^{\mathrm{2}} }} \\…

1-calculste-A-dx-x-2-ix-1-2-2-extract-Re-A-and-Im-A-and-determines-its-values-

Question Number 112449 by mathmax by abdo last updated on 07/Sep/20 $$\left.\mathrm{1}\right)\mathrm{calculste}\:\:\mathrm{A}=\int_{−\infty} ^{+\infty} \:\frac{\mathrm{dx}}{\left(\mathrm{x}^{\mathrm{2}} −\mathrm{ix}\:+\mathrm{1}\right)^{\mathrm{2}} } \\ $$$$\left.\mathrm{2}\right)\:\mathrm{extract}\:\mathrm{Re}\left(\mathrm{A}\right)\:\mathrm{and}\:\mathrm{Im}\left(\mathrm{A}\right)\:\mathrm{and}\:\mathrm{determines}\:\mathrm{its}\:\mathrm{values} \\ $$ Commented by MJS_new last updated…