Question Number 156616 by amin96 last updated on 13/Oct/21 $$\int_{\mathrm{0}} ^{\mathrm{1}} \frac{{arcsin}\left({x}\right)}{{x}}{dx}=? \\ $$ Answered by mindispower last updated on 13/Oct/21 $${by}\:{part}=−\int_{\mathrm{0}} ^{\mathrm{1}} \frac{{ln}\left({x}\right)}{\:\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }}…
Question Number 91074 by M±th+et+s last updated on 27/Apr/20 $${this}\:{trig}\:{integral}\:{has}\:{quite}\:{a}\:{few}\: \\ $$$${insights}\:{on}\:{trig}\:{integrals}\:{andd}\: \\ $$$${u}\:{subs}\:{as}\:{well}\:{as}\:{on}\:{the}\:{properties} \\ $$$${of}\:{logarithms}.\:{try}\:{it}\:{out}\:{it}'{s}\:{a}\:{nice} \\ $$$${one} \\ $$$$\int{tan}\left({x}\right){dx} \\ $$ Commented by mathmax…
Question Number 91054 by Mikael_786 last updated on 27/Apr/20 Commented by MJS last updated on 27/Apr/20 $$\mathrm{I}\:\mathrm{can}\:\mathrm{solve}\:\mathrm{the}\:\mathrm{integral}\:\int\omega^{\mathrm{1}/{x}} {dx}\:\mathrm{but}\:\mathrm{I}\:\mathrm{cannot} \\ $$$$\mathrm{solve}\:\mathrm{the}\:\mathrm{limit}.\:\mathrm{it}\:\mathrm{seems}\:\:{L}=\mathrm{1} \\ $$ Commented by MJS…
Question Number 156577 by Ar Brandon last updated on 12/Oct/21 Commented by TheHoneyCat last updated on 14/Oct/21 Partie 1: Commented by TheHoneyCat last updated on 14/Oct/21…
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Question Number 91037 by M±th+et+s last updated on 27/Apr/20 $${hi}\:{every}\:{one} \\ $$$${what}\:{is}\:{the}\:{scientific}\:{reason}\:{for}\:{using} \\ $$$${trigonometric}\:{compensation}\: \\ $$$${in}\:{integration}? \\ $$$${and}\:{what}\:{is}\:{the}\:{rule}\:{that}\:{we}\:{rely}\:{on} \\ $$$${in}\:{other}\:{compensation}? \\ $$$$ \\ $$$$\sqrt{{a}^{\mathrm{2}} −{x}^{\mathrm{2}}…
Question Number 91018 by M±th+et+s last updated on 27/Apr/20 $$\int_{\mathrm{0}} ^{\pi} \frac{{sin}\frac{\mathrm{21}{x}}{\mathrm{2}}}{{sin}\frac{{x}}{\mathrm{2}}}{dx} \\ $$ Commented by mathmax by abdo last updated on 29/Apr/20 $${let}\:{take}\:{atry}\:\:{changement}\:\frac{{x}}{\mathrm{2}}\:={t}\:{give} \\…
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Question Number 91004 by jagoll last updated on 27/Apr/20 $$\int\:\mathrm{tan}\:\left({arc}\:\mathrm{sin}\:{x}\right)\:{dx} \\ $$ Commented by jagoll last updated on 27/Apr/20 $${let}\:\mathrm{sin}^{−\mathrm{1}} \left({x}\right)\:=\:{y}\:\Rightarrow{x}\:=\:\mathrm{sin}\:{y} \\ $$$${dx}\:=\:\mathrm{cos}\:{y}\:{dy}\: \\ $$$$\mathrm{tan}\:\left(\mathrm{sin}^{−\mathrm{1}}…