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}\:? \\ $$ Answered by Lordose last updated on 16/Dec/20 $$ \\ $$$$\int\mathrm{cot}\left(\mathrm{x}\right)\mathrm{ln}\left(\mathrm{sin}\left(\mathrm{x}\right)\right)\mathrm{dx}\:\overset{\mathrm{u}=\mathrm{ln}\left(\mathrm{sin}\left(\mathrm{x}\right)\right)} {=}\int\mathrm{udu}\:\:\: \\ $$$$=\:\frac{\mathrm{u}^{\mathrm{2}}…
Question Number 125962 by bramlexs22 last updated on 15/Dec/20 $$\:\:\underset{\mathrm{1}} {\overset{\mathrm{3}} {\int}}\:{x}^{\mathrm{2}{x}} \:\left(\mathrm{1}+\mathrm{ln}\:{x}\right)\:{dx}\:=?\: \\ $$ Answered by liberty last updated on 16/Dec/20 $$\:{let}\:{x}^{{x}} \:=\:{r}\:\rightarrow\begin{cases}{{x}=\mathrm{1}\rightarrow{r}=\mathrm{1}}\\{{x}=\mathrm{3}\rightarrow{r}=\mathrm{27}}\end{cases}\:\wedge\:{dr}\:=\:{x}^{{x}} \left(\mathrm{1}+\mathrm{ln}\:{x}\right){dx}…
Question Number 60424 by Mr X pcx last updated on 20/May/19 $${let}\:{z}\:\in{C}\:{and}\:\:\mid{z}\mid<\mathrm{1}\:\:{find} \\ $$$${f}\left({x}\right)=\int_{\mathrm{0}} ^{\mathrm{1}} {ln}\left(\mathrm{1}+{zx}\right){dx}. \\ $$ Commented by maxmathsup by imad last updated…
Question Number 60413 by tanmay last updated on 20/May/19 Commented by Meritguide1234 last updated on 21/May/19 $$\mathrm{why}\:\mathrm{do}\:\mathrm{you}\:\mathrm{post}\:\mathrm{same}\:\mathrm{question}\:\mathrm{and}\:\mathrm{solition}\:\mathrm{from}\:\mathrm{goiit}\:\mathrm{page}\:\mathrm{by}\:\mathrm{Sourav}\:\mathrm{De} \\ $$ Commented by MJS last updated on…
Question Number 125949 by Ñï= last updated on 15/Dec/20 Answered by Lordose last updated on 15/Dec/20 $$\mathrm{x}\frac{\mathrm{cos}\left(\mathrm{sint}\right)+\mathrm{cos}^{\mathrm{2}} \mathrm{t}}{\mathrm{1}+\:\mathrm{sin}\left(\mathrm{t}\right)\mathrm{sin}\left(\mathrm{sint}\right)}\:+\:\mathrm{C} \\ $$ Terms of Service Privacy Policy…