Question Number 131247 by bramlexs22 last updated on 03/Feb/21 $$\left(\mathrm{1}\right)\:\psi\:=\:\int\:\frac{{dx}}{\mathrm{1}−\mathrm{sin}\:{x}\:\mathrm{cos}\:{x}}=? \\ $$$$\left(\mathrm{2}\right)\:\int_{\mathrm{0}} ^{\:\infty} \:\frac{{x}}{{x}^{\mathrm{3}} +\mathrm{1}}\:{dx}\:=? \\ $$$$\left(\mathrm{3}\right)\:\int_{\mathrm{0}} ^{\infty} \:\frac{\mathrm{1}}{{x}^{\mathrm{3}/\mathrm{2}} +\mathrm{1}}\:{dx}\:=?\: \\ $$ Answered by liberty…
Question Number 131246 by fajar123_ last updated on 03/Feb/21 $$\underset{{x}\rightarrow\mathrm{2}} {\mathrm{lim}}\:\mathrm{2}{x}+\mathrm{3}\:=\mathrm{2}.\mathrm{2}+\mathrm{3}=\mathrm{4}+\mathrm{3}=\mathrm{7} \\ $$$${jadi},\:{nilai}\:{dari}\:{limit}\:{tersebut} \\ $$$$ \\ $$$$ \\ $$$$ \\ $$ Terms of Service Privacy…
Question Number 170 by 123456 last updated on 25/Jan/15 $$\mathrm{solve}\:\mathrm{12x}\equiv\mathrm{25}\left(\mathrm{mod}\:\mathrm{69}\right) \\ $$ Answered by prakash jain last updated on 14/Dec/14 $$\mathrm{gcd}\left(\mathrm{12},\mathrm{69}\right)=\mathrm{3} \\ $$$$\mathrm{3}\:\nmid\:\mathrm{25},\:\mathrm{3}\:\mathrm{does}\:\mathrm{not}\:\mathrm{divide}\:\mathrm{25}\:\mathrm{hence}\:\mathrm{there} \\ $$$$\mathrm{is}\:\mathrm{no}\:\mathrm{solution}.…
Question Number 65704 by mmkkmm000m last updated on 03/Aug/19 $$\int{ln}^{\mathrm{2}} {xsin}\left({x}\right){dx} \\ $$ Commented by Tinku Tara last updated on 02/Aug/19 $$\mathrm{Can}\:\mathrm{please}\:\mathrm{use}\:\mathrm{smaller}\:\mathrm{font}\:\mathrm{size} \\ $$ Terms…
Question Number 131236 by mohammad17 last updated on 02/Feb/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 65700 by Masumsiddiqui399@gmail.com last updated on 02/Aug/19 Commented by Prithwish sen last updated on 02/Aug/19 $$=\mathrm{lim}_{\mathrm{n}\rightarrow\infty} \frac{\mathrm{1}}{\mathrm{n}}\underset{\mathrm{k}=\mathrm{0}} {\overset{\mathrm{1}} {\sum}}\frac{\mathrm{1}}{\left[\mathrm{1}+\left(\frac{\mathrm{k}}{\mathrm{n}}\right)^{\mathrm{2}} \right]}\:=\:\int_{\mathrm{0}} ^{\mathrm{1}} \frac{\mathrm{dx}}{\mathrm{1}+\mathrm{x}^{\mathrm{2}} }\:=\:\mathrm{tan}^{−\mathrm{1}}…
Question Number 164 by 123456 last updated on 25/Jan/15 $$\mathrm{evaluate}\:{f}\left({a},{b}\right)=\underset{{a}} {\overset{{b}} {\int}}\left({b}−{x}\right)\left({x}−{a}\right){dx} \\ $$ Answered by prakash jain last updated on 14/Dec/14 $$\left({b}−{x}\right)\left({x}−{a}\right)=−{x}^{\mathrm{2}} +\left({a}+{b}\right){x}−{ab} \\…
Question Number 65697 by Tinku Tara last updated on 02/Aug/19 $$\mathrm{All}\:\mathrm{posts}\:\mathrm{from}\:\mathrm{MathaPride}\:\mathrm{have}\:\mathrm{been} \\ $$$$\mathrm{deleted}.\:\mathrm{We}\:\mathrm{will}\:\mathrm{try}\:\mathrm{to}\:\mathrm{be}\:\mathrm{more}\:\mathrm{proactive} \\ $$$$\mathrm{in}\:\mathrm{future}.\:\mathrm{Sorry}\:\mathrm{about}\:\mathrm{the}\:\mathrm{delay}. \\ $$ Commented by mr W last updated on 02/Aug/19…
Question Number 131230 by Fikret last updated on 02/Feb/21 $$\frac{{sin}\mathrm{5}}{{cos}\mathrm{0}.{cos}\mathrm{5}}+\frac{{sin}\mathrm{5}}{{cos}\mathrm{5}.{cos}\mathrm{10}}+\:\:.\:\:.\:\:.\:\:+\frac{{sin}\mathrm{5}}{{cos}\mathrm{55}.{cos}\mathrm{60}}\:=? \\ $$ Answered by mr W last updated on 02/Feb/21 $${example}: \\ $$$$\mathrm{sin}\:\mathrm{5}=\mathrm{sin}\:\left(\mathrm{10}−\mathrm{5}\right)=\mathrm{sin}\:\mathrm{10}\:\mathrm{cos}\:\mathrm{5}−\mathrm{cos}\:\mathrm{10}\:\mathrm{sin}\:\mathrm{5} \\ $$$$\frac{\mathrm{sin}\:\mathrm{5}}{\mathrm{cos}\:\mathrm{5}\:\mathrm{cos}\:\mathrm{10}}=\mathrm{tan}\:\mathrm{10}−\mathrm{tan}\:\mathrm{5}…
Question Number 65690 by mathmax by abdo last updated on 02/Aug/19 $${calculate}\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\frac{{ln}^{\mathrm{2}} \left({x}\right)}{\mathrm{1}+{x}^{\mathrm{2}} }{dx} \\ $$ Commented by mathmax by abdo last updated…