Question Number 60495 by Mr X pcx last updated on 21/May/19 $${find}\:{the}\:{value}\:{of}\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\frac{{ln}\left({x}\right)}{\left(\mathrm{1}−{x}^{\mathrm{2}} \right)^{\mathrm{2}} }{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 60494 by Mr X pcx last updated on 21/May/19 $${find}\:\int\:\sqrt{\sqrt{\mathrm{2}+{x}^{\mathrm{2}} }−{x}}{dx} \\ $$ Commented by maxmathsup by imad last updated on 22/May/19 $${let}\:{use}\:{the}\:{chang}.\:\sqrt{\mathrm{2}+{x}^{\mathrm{2}}…
Question Number 191567 by leandrosriv02 last updated on 26/Apr/23 Answered by Frix last updated on 26/Apr/23 $$\int\frac{\sqrt{{x}}−\mathrm{1}}{{x}^{\pi} }{dx}=\int{x}^{\frac{\mathrm{1}}{\mathrm{2}}−\pi} {dx}−\int{x}^{−\pi} {dx} \\ $$$$\mathrm{Which}\:\mathrm{is}\:\mathrm{easy}\:\mathrm{to}\:\mathrm{solve}\:\mathrm{using}\:\int{x}^{{r}} {dx}=\frac{{x}^{{r}+\mathrm{1}} }{{r}+\mathrm{1}} \\…
Question Number 60481 by aliesam last updated on 21/May/19 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 125999 by bramlexs22 last updated on 16/Dec/20 Commented by bramlexs22 last updated on 16/Dec/20 $${thanks}\:{both}\:{sir} \\ $$ Answered by mr W last updated…
Question Number 126000 by bramlexs22 last updated on 16/Dec/20 $$\:\:\:\int\:\frac{{dx}}{\left({x}−\mathrm{1}\right)\sqrt{{x}^{\mathrm{2}} −\mathrm{2}{x}}}\:? \\ $$ Answered by Dwaipayan Shikari last updated on 16/Dec/20 $$\int\frac{\mathrm{1}}{\left({x}−\mathrm{1}\right)\sqrt{\left({x}−\mathrm{1}\right)^{\mathrm{2}} −\mathrm{1}}}{dx}\:=\:{sec}^{−\mathrm{1}} \left({x}−\mathrm{1}\right)+{C} \\…
Question Number 125997 by bramlexs22 last updated on 16/Dec/20 $${Find}\:{the}\:{Riemann}\:{sum}\:{for}\:{the} \\ $$$${given}\:{function}\:{with}\:{the}\:{specified} \\ $$$${number}\:{of}\:{intervals}\:{using}\:{left} \\ $$$${endpoints}\:{f}\left({x}\right)=\:\mathrm{4ln}\:{x}+\mathrm{2}{x}\:;\:\mathrm{1}\leqslant{x}\leqslant\mathrm{4} \\ $$$${n}=\mathrm{7}\:.\:{Round}\:{your}\:{answer}\:{to}\:{two} \\ $$$${decimal}\:{places}\:? \\ $$ Answered by liberty…
Question Number 125986 by Ñï= last updated on 16/Dec/20 Answered by Dwaipayan Shikari last updated on 16/Dec/20 $$−\mathrm{2}{tan}^{−\mathrm{1}} \left(\frac{{cos}\left(\frac{{t}}{\mathrm{2}}−\frac{{sint}}{\mathrm{2}}\right)}{{sin}\left(\frac{{t}}{\mathrm{2}}+\frac{{sint}}{\mathrm{2}}\right)}\right)+{C} \\ $$ Commented by Dwaipayan Shikari…
Question Number 191519 by Acem last updated on 25/Apr/23 $$\int_{\mathrm{0}} ^{\:\frac{\pi}{\mathrm{2}}} \:\frac{{dx}}{\mathrm{1}+\:\mathrm{sin}\:{x}} \\ $$ Answered by BaliramKumar last updated on 25/Apr/23 $$\frac{\mathrm{1}\left(\mathrm{1}−\mathrm{sinx}\right)}{\left(\mathrm{1}+\mathrm{sinx}\right)\left(\mathrm{1}−\mathrm{sinx}\right)}\:=\:\frac{\mathrm{1}−\mathrm{sinx}}{\mathrm{cos}^{\mathrm{2}} \mathrm{x}} \\ $$$$\int_{\mathrm{0}}…
Question Number 125965 by bramlexs22 last updated on 16/Dec/20 $$\:\:\:\:\int\:\mathrm{cot}\:{x}\:\mathrm{ln}\:\left(\mathrm{sin}\:{x}\right)\:{dx}\:? \\ $$ Answered by Lordose last updated on 16/Dec/20 $$ \\ $$$$\int\mathrm{cot}\left(\mathrm{x}\right)\mathrm{ln}\left(\mathrm{sin}\left(\mathrm{x}\right)\right)\mathrm{dx}\:\overset{\mathrm{u}=\mathrm{ln}\left(\mathrm{sin}\left(\mathrm{x}\right)\right)} {=}\int\mathrm{udu}\:\:\: \\ $$$$=\:\frac{\mathrm{u}^{\mathrm{2}}…