Question Number 156319 by cortano last updated on 10/Oct/21 $$\:\int\:\frac{\mathrm{36}}{\left(\mathrm{12cos}\:\mathrm{x}+\mathrm{5sin}\:\mathrm{x}\right)^{\mathrm{2}} }\:\mathrm{dx}=? \\ $$ Commented by john_santu last updated on 10/Oct/21 $$=\frac{\mathrm{36}}{\mathrm{13}}\left(\frac{\mathrm{12sin}\:{x}−\mathrm{5cos}\:{x}}{\mathrm{5sin}\:{x}+\mathrm{12cos}\:{x}}\right)+{c} \\ $$ Answered by…
Question Number 156305 by cortano last updated on 10/Oct/21 $$\:\:\int\:\frac{\mathrm{sec}\:^{\mathrm{2}} \left(\mathrm{x}\right)}{\mathrm{3sin}\:^{\mathrm{2}} \left(\mathrm{x}\right)−\mathrm{1}}\:\mathrm{dx} \\ $$ Answered by puissant last updated on 10/Oct/21 $$\Omega=\int\frac{{sec}^{\mathrm{2}} {x}}{\mathrm{3}{sin}^{\mathrm{2}} {x}−\mathrm{1}}{dx}\:=\:\int\frac{{sec}^{\mathrm{4}} {x}}{\mathrm{3}{tan}^{\mathrm{2}}…
Question Number 90765 by john santu last updated on 26/Apr/20 $${if}\:\int\:\left(\mathrm{ln}\left({x}\right)\right)^{\mathrm{2}} {dx}\:=\: \\ $$$${x}\left(\:\mathrm{ln}^{\mathrm{2}} \left({x}\right)+{a}\:\mathrm{ln}\left({x}\right)+{b}\right)\:+{C} \\ $$$${a},{b}\:,\:{C}\:{are}\:{constant}.\: \\ $$$${find}\:{the}\:{value}\:{of}\:{a}\:{and}\:{b}\: \\ $$ Commented by jagoll last…
Question Number 25224 by kshreyasingh200@gmil.com last updated on 06/Dec/17 $$\int\left(\mathrm{2}{x}−\mathrm{1}\right)\sqrt{{x}×{x}−{x}+\mathrm{1}\:\:\:{dx}} \\ $$ Answered by prakash jain last updated on 06/Dec/17 $$\int\left(\mathrm{2}{x}−\mathrm{1}\right)\sqrt{{x}^{\mathrm{2}} −{x}+\mathrm{1}}\:{dx} \\ $$$${x}^{\mathrm{2}} −{x}+\mathrm{1}={u}…
Question Number 90759 by M±th+et+s last updated on 25/Apr/20 $$\mathrm{1}/\int_{\mathrm{0}} ^{\infty} \int_{{x}} ^{\infty} \frac{{cos}\left({t}\right)\:{ln}^{\mathrm{2}} \left({x}\right)}{{t}\sqrt{{x}}}{dt}\:{dx} \\ $$$$ \\ $$$$\mathrm{2}/\int_{\mathrm{1}/\mathrm{2}} ^{\mathrm{3}/\mathrm{2}} {ln}\left(\Gamma\left({x}\right)\right){dx}=\frac{{ln}\left(\pi\right)−\mathrm{1}}{\mathrm{2}} \\ $$$$ \\ $$$$\mathrm{3}/\int_{\mathrm{0}}…
Question Number 90752 by abdomathmax last updated on 25/Apr/20 $${find}\:\int\left(\mathrm{1}+{x}^{\mathrm{2}} \right)\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }{dx} \\ $$ Answered by MJS last updated on 25/Apr/20 $$\int\left(\mathrm{1}+{x}^{\mathrm{2}} \right)\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }{dx}= \\…
Question Number 25209 by Mr eaay last updated on 06/Dec/17 $$\int{cosec}\sqrt{\mathrm{4}{x}^{\mathrm{2}} }{dx} \\ $$$$ \\ $$ Answered by prakash jain last updated on 06/Dec/17 $$=\int\mathrm{cosec}\:\mathrm{2}{xdx}…
Question Number 25203 by mondodotto@gmail.com last updated on 06/Dec/17 Commented by mondodotto@gmail.com last updated on 07/Dec/17 $$\mathrm{please}\:\mathrm{help} \\ $$ Answered by prakash jain last updated…
Question Number 156269 by mathlove last updated on 09/Oct/21 Commented by yeti123 last updated on 09/Oct/21 $$\mathrm{actuary},\:\mathrm{are}\:\mathrm{you}? \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 156257 by john_santu last updated on 09/Oct/21 $$\:\int\:\frac{{x}\mathrm{sin}^{−\mathrm{1}} \left({x}^{\mathrm{2}} \right)}{\mathrm{1}−{x}^{\mathrm{4}} }\:{dx}=? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com