Question Number 37540 by rahul 19 last updated on 14/Jun/18 $$\mathrm{For}\:{x}>\mathrm{1}\:,\: \\ $$$$\int\:\mathrm{sin}^{−\mathrm{1}} \left(\frac{\mathrm{2}{x}}{\mathrm{1}+{x}^{\mathrm{2}} }\right){dx}\:=\:? \\ $$ Answered by ajfour last updated on 14/Jun/18 $${let}\:{x}=\mathrm{tan}\:\theta…
Question Number 103071 by Ar Brandon last updated on 12/Jul/20 $$\int\frac{\mathrm{e}^{\mathrm{x}} }{\left(\mathrm{1}+\mathrm{x}^{\mathrm{2}} \right)^{\mathrm{2}} }\centerdot\left(\mathrm{x}^{\mathrm{3}} −\mathrm{x}^{\mathrm{2}} +\mathrm{x}+\mathrm{1}\right)\mathrm{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 168595 by infinityaction last updated on 13/Apr/22 Commented by infinityaction last updated on 13/Apr/22 $${please}\:{solve}\:{this}\:{problem}\:{anyone} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 37517 by ajfour last updated on 14/Jun/18 Commented by ajfour last updated on 14/Jun/18 $${Find}\:{volume}\:{of}\:{the}\:{region}\: \\ $$$${common}\:{to}\:{the}\:{two}\:{spheres}. \\ $$$$\left({The}\:{center}\:{of}\:{smaller}\:{sphere}\:{is}\right. \\ $$$${on}\:{the}\:{surface}\:{of}\:{the}\:{bigger} \\ $$$$\left.{sphere}\right).…
Question Number 103040 by bobhans last updated on 12/Jul/20 $${given}\:\mathrm{5}{x}+\mathrm{12}{y}\:=\:\mathrm{60} \\ $$$${min}\:{value}\:{of}\:\sqrt{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} } \\ $$ Answered by bobhans last updated on 12/Jul/20 Commented by…
Question Number 102987 by bobhans last updated on 12/Jul/20 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{{x}^{\mathrm{2}} \:\mathrm{sin}\:\left({x}^{−\mathrm{4}} \right)}{{x}}\:?\: \\ $$ Answered by bemath last updated on 12/Jul/20 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\mathrm{2}{x}\:\mathrm{sin}\:\left({x}^{−\mathrm{4}} \right)−\mathrm{4}{x}^{−\mathrm{3}}…
Question Number 37451 by ajfour last updated on 13/Jun/18 $$\int_{\mathrm{0}} ^{\:\mathrm{2}\pi} \frac{{a}^{\mathrm{2}} \mathrm{sin}\:^{\mathrm{2}} \theta{d}\theta}{\:\sqrt{{a}^{\mathrm{2}} \mathrm{sin}\:^{\mathrm{2}} \theta+{b}^{\mathrm{2}} \mathrm{cos}\:^{\mathrm{2}} \theta}}\:=\:? \\ $$ Commented by MJS last updated…
Question Number 37449 by gunawan last updated on 13/Jun/18 $$\int_{\mathrm{0}} ^{\mathrm{1}} \frac{\mathrm{3}{x}^{\mathrm{3}} −{x}^{\mathrm{2}} +\mathrm{2}{x}+\mathrm{4}}{\:\sqrt{{x}^{\mathrm{2}} −\mathrm{3}{x}+\mathrm{2}}}\:{dx}= \\ $$ Answered by ajfour last updated on 13/Jun/18 $$\mathrm{3}{x}^{\mathrm{3}}…
Question Number 37432 by MJS last updated on 13/Jun/18 $$\int\frac{{d}\alpha}{\frac{\mathrm{1}}{\mathrm{2}}\mathrm{tan}\:\alpha\:+\mathrm{2cot}\:\frac{\alpha}{\mathrm{2}}}=? \\ $$$$\int\frac{{d}\beta}{\mathrm{2tan}\:\frac{\beta}{\mathrm{2}}\:+\frac{\mathrm{1}}{\mathrm{2}}\mathrm{cot}\:\beta}=? \\ $$ Answered by ajfour last updated on 13/Jun/18 $$\int\frac{\mathrm{2sin}\:\alpha\mathrm{cos}\:\alpha{d}\alpha}{\mathrm{sin}\:^{\mathrm{2}} \alpha+\mathrm{4cos}\:^{\mathrm{2}} \alpha}=\int\frac{\mathrm{sin}\:\mathrm{2}\alpha{d}\alpha}{\mathrm{1}+\frac{\mathrm{3}}{\mathrm{2}}\left(\mathrm{1}+\mathrm{cos}\:\mathrm{2}\alpha\right)} \\…
Question Number 37425 by MJS last updated on 13/Jun/18 $$\int\frac{{x}^{\mathrm{5}} −\mathrm{3}{x}^{\mathrm{4}} −\mathrm{23}{x}^{\mathrm{3}} +\mathrm{51}{x}^{\mathrm{2}} +\mathrm{94}{x}−\mathrm{120}}{\mathrm{8}{x}^{\mathrm{3}} \sqrt{\mathrm{42}+{x}−{x}^{\mathrm{2}} }}{dx}=? \\ $$ Answered by ajfour last updated on 13/Jun/18…