Question Number 25683 by abdo imad last updated on 13/Dec/17 $${find}\:{the}\:{value}\:{of}\:\int_{\mathrm{0}} ^{\infty} \:{sin}\left({x}^{{n}} \:\right)\left(\:\mathrm{1}\:+\:{x}^{\mathrm{2}} \right)^{−\mathrm{1}} {dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 91217 by mhmd last updated on 28/Apr/20 Commented by Prithwish Sen 1 last updated on 28/Apr/20 $$\int_{\mathrm{0}} ^{\mathrm{n}\pi} \mid\mathrm{cosx}\mid\mathrm{dx}\:=\:\boldsymbol{\mathrm{n}}\int_{\mathrm{0}} ^{\boldsymbol{\pi}} \mid\mathrm{cosx}\mid\mathrm{dx}\:=\:\mathrm{n}\left[\int_{\mathrm{0}} ^{\frac{\boldsymbol{\pi}}{\mathrm{2}}} \boldsymbol{\mathrm{cosxdx}}+\int_{\frac{\boldsymbol{\pi}}{\mathrm{2}}}…
Question Number 25676 by abdo imad last updated on 12/Dec/17 $$\boldsymbol{{find}}\:\boldsymbol{{the}}\:\boldsymbol{{value}}\:\boldsymbol{{of}}\:\:\int_{\mathrm{0}} ^{\infty} \:\:\boldsymbol{{sin}}\left(\hat {\boldsymbol{{x}}}{n}\:\right)/\hat {{x}}\mathrm{2}\:+\:\mathrm{1}\:{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 25677 by abdo imad last updated on 12/Dec/17 $${let}\:\mathrm{0}<{x}<\mathrm{1}\:\:{find}\:{the}\:{value}\:{of}\:{F}\left({x}\right)\:=\:\int\:\mathrm{ln}\:\left(\mathrm{1}+{x}\:{cost}\right){dt}\:{fromt}=\mathrm{0}\:{to}\:{t}={pi} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 156743 by cortano last updated on 15/Oct/21 Answered by MJS_new last updated on 15/Oct/21 $$\mathrm{0}\leqslant{x}\leqslant\frac{\mathrm{1}}{\mathrm{2}}\:\Rightarrow \\ $$$$\int\frac{{dx}}{\:\sqrt[{\mathrm{4}}]{\left(\mathrm{1}+{x}\right)^{\mathrm{2}} \left(\mathrm{1}−{x}\right)^{\mathrm{6}} }}= \\ $$$$=\int\frac{{dx}}{\:\left(\mathrm{1}−{x}\right)\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }}= \\…
Question Number 156739 by cortano last updated on 15/Oct/21 Commented by john_santu last updated on 15/Oct/21 $$\:{B}=\int\:\sqrt{\frac{\mathrm{sin}\:{x}+\mathrm{cos}\:{x}}{\mathrm{sin}\:{x}−\mathrm{cos}\:{x}}}\:{dx} \\ $$$$\:\:\:=\int\:\sqrt{\frac{\mathrm{sin}\:\left({x}+\frac{\pi}{\mathrm{4}}\right)}{−\mathrm{cos}\:\left({x}+\frac{\pi}{\mathrm{4}}\right)}}\:{dx} \\ $$$$\:\:=\int\:\sqrt{−\mathrm{tan}\:\:\left({x}+\frac{\pi}{\mathrm{4}}\right)}\:{dx} \\ $$$$\:\:=\int\sqrt{\mathrm{cot}\:\left({x}+\frac{\mathrm{3}\pi}{\mathrm{4}}\right)}\:{d}\left({x}+\frac{\mathrm{3}\pi}{\mathrm{4}}\right) \\ $$$$\:=\int\:\frac{{dq}}{\:\sqrt{\mathrm{tan}\:{q}}}\:…
Question Number 25660 by abdo imad last updated on 12/Dec/17 Commented by prakash jain last updated on 12/Dec/17 Your images are not at all clear. Can u type the questions? Terms of Service Privacy Policy Contact:…
Question Number 91183 by I want to learn more last updated on 28/Apr/20 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 156695 by amin96 last updated on 14/Oct/21 $$\int{sin}\left({ln}\left({x}\right)\right){dx}=? \\ $$ Answered by puissant last updated on 10/Nov/21 $${Q}=\int_{\mathrm{0}} ^{\mathrm{1}} {sin}\left({lnx}\right){dx}\:;\:{u}={lnx}\rightarrow{x}={e}^{{u}} \rightarrow{dx}={e}^{{u}} {du} \\…
Question Number 25618 by GURU003 last updated on 12/Dec/17 $$\underset{\mathrm{6}} {\overset{\mathrm{5}} {\int}}{f}\left({x}\right){dx} \\ $$$$ \\ $$ Answered by prakash jain last updated on 12/Dec/17 $$\mathrm{If}\:\int{f}\left({x}\right){dx}={F}\left({x}\right)+{c}…