Question Number 17205 by Arnab Maiti last updated on 02/Jul/17 $$\underset{\mathrm{n}\rightarrow\infty} {\mathrm{lim}}\:\:\underset{\mathrm{r}=\mathrm{1}} {\overset{\mathrm{n}−\mathrm{1}} {\sum}}\frac{\mathrm{1}}{\mathrm{n}}\sqrt{\frac{\mathrm{n}+\mathrm{r}}{\mathrm{n}−\mathrm{r}}} \\ $$ Answered by ajfour last updated on 02/Jul/17 $$\frac{\mathrm{r}}{\mathrm{n}}\rightarrow\mathrm{x}\:,\:\Rightarrow\:\mathrm{dx}\rightarrow\frac{\mathrm{1}}{\mathrm{n}} \\…
Question Number 17203 by Arnab Maiti last updated on 02/Jul/17 $$\int_{\mathrm{0}} ^{\:\mathrm{1}} \mathrm{cot}^{−\mathrm{1}} \left(\mathrm{1}−\mathrm{x}+\mathrm{x}^{\mathrm{2}} \right)\mathrm{dx} \\ $$ Commented by prakash jain last updated on 02/Jul/17…
Question Number 17204 by Arnab Maiti last updated on 02/Jul/17 $$\int_{\mathrm{0}} ^{\:\frac{\Pi}{\mathrm{2}}} \mathrm{sin}\theta\:\mathrm{cos}\theta\left(\mathrm{a}^{\mathrm{2}} \mathrm{sin}^{\mathrm{2}} \theta+\mathrm{b}^{\mathrm{2}} \mathrm{cos}^{\mathrm{2}} \theta\right)^{\frac{\mathrm{1}}{\mathrm{2}}} \mathrm{d}\theta \\ $$ Answered by prakash jain last…
Question Number 17180 by shankarnstephen last updated on 02/Jul/17 Commented by prakash jain last updated on 02/Jul/17 $$\int\frac{\mathrm{sin}\:{x}\centerdot{e}^{\mathrm{cos}\:{x}} −\left(\mathrm{sin}\:{x}+\mathrm{cos}\:{x}\right){e}^{\mathrm{sin}\:{x}+\mathrm{cos}\:{x}} }{{e}^{\mathrm{2sin}\:{x}} −\mathrm{2}{e}^{\mathrm{sin}\:{x}} +\mathrm{1}}{dx} \\ $$ Terms…
Question Number 82700 by jagoll last updated on 23/Feb/20 $$\int\:\frac{\mathrm{2}{dx}}{\mathrm{3}{x}\sqrt{\mathrm{5}{x}^{\mathrm{2}} +\mathrm{6}}}\:? \\ $$ Commented by john santu last updated on 23/Feb/20 $$\int\:\frac{{d}\left({x}^{\mathrm{2}} \right)}{\mathrm{3}{x}^{\mathrm{2}} \:\sqrt{\mathrm{5}{x}^{\mathrm{2}} +\mathrm{6}}}\:,\:{let}\:{x}^{\mathrm{2}}…
Question Number 17167 by Arnab Maiti last updated on 01/Jul/17 $$\int\mathrm{x}^{\mathrm{2}} \mathrm{sin}^{−\mathrm{1}} \mathrm{3x}\:\mathrm{dx} \\ $$ Answered by sma3l2996 last updated on 01/Jul/17 $${I}=\int{x}^{\mathrm{2}} {sin}^{−\mathrm{1}} \left(\mathrm{3}{x}\right){dx}…
Question Number 148231 by qaz last updated on 26/Jul/21 $$\int_{\mathrm{0}} ^{\mathrm{1}} \mathrm{x}^{\mathrm{dx}} =? \\ $$ Commented by abdullahalholanymath last updated on 26/Jul/21 $$?????? \\ $$…
Question Number 82685 by M±th+et£s last updated on 23/Feb/20 $$\int_{\mathrm{0}} ^{\mathrm{5}} \:\frac{\sqrt[{\mathrm{4}}]{\mathrm{3}{x}^{\mathrm{3}} −{x}^{\mathrm{4}} }}{\mathrm{5}−{x}}{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 17086 by Joel577 last updated on 30/Jun/17 $$\underset{−\mathrm{1}} {\overset{\mathrm{2}} {\int}}\:\frac{\mathrm{1}}{{x}^{\mathrm{2}} }\:{dx} \\ $$ Commented by Joel577 last updated on 30/Jun/17 $$\mathrm{How}\:\mathrm{to}\:\mathrm{solve}\:\mathrm{the}\:\mathrm{problem}\:\mathrm{like}\:\mathrm{this}? \\ $$$$\mathrm{Because}\:\mathrm{when}\:\mathrm{I}\:\mathrm{graph}\:\mathrm{the}\:\mathrm{function},…
Question Number 82617 by necxxx last updated on 23/Feb/20 $$\int\mathrm{sin}\:\left(\mathrm{101}{x}\right)\left({sinx}\right)^{\mathrm{99}} {dx} \\ $$ Answered by TANMAY PANACEA last updated on 23/Feb/20 $$\int{sin}\left({n}+\mathrm{1}\right){xsin}^{{n}−\mathrm{1}} {xdx}\:\:\:\:{n}=\mathrm{100} \\ $$$$\int\left({sinnxcosx}+{cosnxsinx}\right){sin}^{{n}−\mathrm{1}}…