Question Number 17167 by Arnab Maiti last updated on 01/Jul/17 $$\int\mathrm{x}^{\mathrm{2}} \mathrm{sin}^{−\mathrm{1}} \mathrm{3x}\:\mathrm{dx} \\ $$ Answered by sma3l2996 last updated on 01/Jul/17 $${I}=\int{x}^{\mathrm{2}} {sin}^{−\mathrm{1}} \left(\mathrm{3}{x}\right){dx}…
Question Number 148231 by qaz last updated on 26/Jul/21 $$\int_{\mathrm{0}} ^{\mathrm{1}} \mathrm{x}^{\mathrm{dx}} =? \\ $$ Commented by abdullahalholanymath last updated on 26/Jul/21 $$?????? \\ $$…
Question Number 82685 by M±th+et£s last updated on 23/Feb/20 $$\int_{\mathrm{0}} ^{\mathrm{5}} \:\frac{\sqrt[{\mathrm{4}}]{\mathrm{3}{x}^{\mathrm{3}} −{x}^{\mathrm{4}} }}{\mathrm{5}−{x}}{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 17086 by Joel577 last updated on 30/Jun/17 $$\underset{−\mathrm{1}} {\overset{\mathrm{2}} {\int}}\:\frac{\mathrm{1}}{{x}^{\mathrm{2}} }\:{dx} \\ $$ Commented by Joel577 last updated on 30/Jun/17 $$\mathrm{How}\:\mathrm{to}\:\mathrm{solve}\:\mathrm{the}\:\mathrm{problem}\:\mathrm{like}\:\mathrm{this}? \\ $$$$\mathrm{Because}\:\mathrm{when}\:\mathrm{I}\:\mathrm{graph}\:\mathrm{the}\:\mathrm{function},…
Question Number 82617 by necxxx last updated on 23/Feb/20 $$\int\mathrm{sin}\:\left(\mathrm{101}{x}\right)\left({sinx}\right)^{\mathrm{99}} {dx} \\ $$ Answered by TANMAY PANACEA last updated on 23/Feb/20 $$\int{sin}\left({n}+\mathrm{1}\right){xsin}^{{n}−\mathrm{1}} {xdx}\:\:\:\:{n}=\mathrm{100} \\ $$$$\int\left({sinnxcosx}+{cosnxsinx}\right){sin}^{{n}−\mathrm{1}}…
Question Number 82614 by jagoll last updated on 23/Feb/20 $$\int\:\frac{\mathrm{sin}\:\mathrm{2}{x}}{\mathrm{sin}\:\mathrm{5}{x}\:\mathrm{sin}\:\mathrm{3}{x}}\:{dx}\:?\: \\ $$ Answered by jagoll last updated on 23/Feb/20 Terms of Service Privacy Policy Contact:…
Question Number 82604 by jagoll last updated on 23/Feb/20 $$\int\:\frac{\mathrm{cos}\:\left(\mathrm{5}{x}\right)+\mathrm{cos}\:\left(\mathrm{4}{x}\right)\:{dx}}{\mathrm{1}−\mathrm{2cos}\:\left(\mathrm{3}{x}\right)}\:=\: \\ $$ Answered by john santu last updated on 23/Feb/20 $$\int\:\:\frac{\left\{\mathrm{cos}\:\left(\mathrm{5}{x}\right)+\mathrm{cos}\:\left(\mathrm{4}{x}\right)\right\}\mathrm{sin}\:\left(\mathrm{3}{x}\right)}{\mathrm{sin}\:\left(\mathrm{3}{x}\right)−\mathrm{sin}\:\left(\mathrm{6}{x}\right)}\:{dx} \\ $$$$=\mathrm{2}\int\:\frac{\left\{\mathrm{cos}\:\left(\frac{\mathrm{9}{x}}{\mathrm{2}}\right)\mathrm{cos}\:\left(\frac{{x}}{\mathrm{2}}\right)\right\}\mathrm{sin}\:\left(\mathrm{3}{x}\right)}{\mathrm{2cos}\:\left(\frac{\mathrm{9}{x}}{\mathrm{2}}\right)\mathrm{sin}\:\left(−\frac{\mathrm{3}{x}}{\mathrm{2}}\right)}\:{dx} \\ $$$$=\:−\:\int\:\frac{\mathrm{sin}\:\left(\mathrm{3}{x}\right)\mathrm{cos}\:\left(\frac{{x}}{\mathrm{2}}\right)}{\mathrm{sin}\:\left(\frac{\mathrm{3}{x}}{\mathrm{2}}\right)}\:{dx}\:…
Question Number 148128 by puissant last updated on 25/Jul/21 $$\int\mathrm{ln}\left(\mathrm{sin}\left(\mathrm{x}\right)\right)\mathrm{dx} \\ $$ Answered by Olaf_Thorendsen last updated on 25/Jul/21 $$\mathrm{Pas}\:\mathrm{de}\:\mathrm{formule}\:\mathrm{explicite}\:\mathrm{pour}\:\mathrm{ce}\:\mathrm{genre} \\ $$$$\mathrm{d}'\mathrm{integrales}\:\mathrm{mais}\:\mathrm{on}\:\mathrm{peut}\:\mathrm{quand}\:\mathrm{meme} \\ $$$$\mathrm{calculer}\:\mathrm{la}\:\mathrm{valeur}\:\mathrm{sur}\:\mathrm{un}\:\mathrm{intervalle}\:\mathrm{bien} \\…
Question Number 82577 by M±th+et£s last updated on 22/Feb/20 $$\int\frac{\mathrm{2}−\sqrt{{x}+\mathrm{3}}}{\mathrm{2}+\sqrt{{x}−\mathrm{3}}}\:{dx} \\ $$ Commented by mathmax by abdo last updated on 22/Feb/20 $${let}\:{I}\:=\int\frac{\mathrm{2}−\sqrt{{x}+\mathrm{3}}}{\mathrm{2}+\sqrt{{x}+\mathrm{3}}}{dx}\:{vhangement}\:\mathrm{2}+\sqrt{{x}+\mathrm{3}}={t}\:{give} \\ $$$$\sqrt{{x}+\mathrm{3}}={t}−\mathrm{2}\:\Rightarrow{x}+\mathrm{3}\:=\left({t}−\mathrm{2}\right)^{\mathrm{2}} \:={t}^{\mathrm{2}}…
Question Number 82573 by Power last updated on 22/Feb/20 Commented by Tony Lin last updated on 22/Feb/20 $${let}\:{x}={asec}\theta,\:{dx}={asec}\theta{tan}\theta{d}\theta \\ $$$$\Rightarrow{sec}\theta=\frac{{x}}{{a}},\:{tan}\theta=\frac{\sqrt{{x}^{\mathrm{2}} −{a}^{\mathrm{2}} }}{{a}} \\ $$$${a}^{\mathrm{2}} \int{tan}^{\mathrm{2}}…