Question Number 94520 by john santu last updated on 19/May/20 $$\int\:\sqrt{{e}^{\mathrm{4}{x}} +\mathrm{1}}\:{dx}\: \\ $$ Answered by niroj last updated on 19/May/20 $$\:\:\int\sqrt{\left(\mathrm{e}^{\mathrm{x}} \right)^{\mathrm{4}} +\mathrm{1}}\:\:\mathrm{dx}\:\: \\…
Question Number 28986 by abdo imad last updated on 02/Feb/18 $${let}\:{give}\:{a}>\mathrm{1}\:\:{find}\:\:\:\int_{\mathrm{0}} ^{\mathrm{2}\pi} \:\:\frac{{dt}}{{a}+{cost}}\:. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 28985 by abdo imad last updated on 02/Feb/18 $${let}\:{give}\:{I}_{{m},{a}} =\int_{\mathrm{0}} ^{\infty} \:\:\:\:\frac{{cos}\left({mx}\right)}{\left(\mathrm{1}+{x}^{\mathrm{2}} \right)\left({x}^{\mathrm{2}} +{a}^{\mathrm{2}} \right)}{dx} \\ $$$$\left.\mathrm{1}\right){verify}\:{that}\:{I}_{{m},\mathrm{1}} ={lim}_{{a}\rightarrow\mathrm{1}} \:{I}_{{m},{a}} \\ $$$$\left.\mathrm{2}\right)\:{find}\:{the}\:{value}\:{of}\:\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{x}\:{sin}\left({mx}\right)}{\left(\mathrm{1}+{x}^{\mathrm{2}}…
Question Number 28983 by abdo imad last updated on 02/Feb/18 $${find}\:{the}\:{value}\:{of}\int_{−\infty} ^{+\infty} \:\frac{{x}^{\mathrm{2}} −\mathrm{1}}{{x}^{\mathrm{2}} +\mathrm{1}}\:\frac{{sinx}}{{x}}{dx}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 28984 by abdo imad last updated on 02/Feb/18 $${find}\:{F}\left(\:\frac{\mathrm{1}}{\mathrm{1}+{x}^{\mathrm{4}} }\right)\:{F}\:{means}\:{fourier}\:{transform}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 28976 by abdo imad last updated on 02/Feb/18 $${find}\:\int_{−\infty} ^{+\infty} \:\:\:\frac{{cosx}}{{e}^{{x}} +{e}^{−{x}} }{dx}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 94510 by i jagooll last updated on 19/May/20 $$\int\:\frac{\sqrt{\mathrm{tan}\:{x}}}{\mathrm{sin}\:{x}.\mathrm{cos}\:{x}}{dx}\: \\ $$ Commented by PRITHWISH SEN 2 last updated on 19/May/20 $$\int\frac{\mathrm{sec}^{\mathrm{2}} \mathrm{x}.\sqrt{\mathrm{tanx}}}{\mathrm{tan}\:\mathrm{x}}\:\mathrm{dx}\:\:\mathrm{now}\:\mathrm{put}\:\mathrm{tanx}=\mathrm{t}^{\mathrm{2}} \\…
Question Number 28975 by abdo imad last updated on 02/Feb/18 $${find}\:{the}\:{value}\:{of}\int_{\mathrm{0}} ^{\infty} \:\:\:\frac{{x}^{\mathrm{3}} }{\mathrm{1}+{x}^{\mathrm{7}} }{dx}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 160013 by Odhiambojr last updated on 23/Nov/21 $$\int\frac{\mathrm{1}}{\mathrm{4}{sin}\:{x}+\mathrm{3}{cos}\:{x}}{dx} \\ $$$${evaluate} \\ $$ Commented by tounghoungko last updated on 23/Nov/21 $$\:\:{I}=\int\:\frac{{dx}}{\mathrm{4sin}\:{x}+\mathrm{3cos}\:{x}}\:=? \\ $$$$\mathrm{4sin}\:{x}+\mathrm{3cos}\:{x}=\mathrm{5}\left(\frac{\mathrm{4}}{\mathrm{5}}\mathrm{sin}\:{x}+\frac{\mathrm{3}}{\mathrm{5}}\mathrm{cos}\:{x}\right) \\…
Question Number 94432 by Tony Lin last updated on 18/May/20 $$\int\:\frac{{x}^{{n}} −{x}^{{n}−\mathrm{2}} }{\underset{{r}=\mathrm{0}} {\overset{\mathrm{2}{n}} {\sum}}{C}_{{r}} ^{\mathrm{2}{n}} {x}^{{r}} }{dx}=? \\ $$$${The}\:{result}\:{is}\:{a}\:{little}\:{pretty} \\ $$ Commented by PRITHWISH…