Question Number 27181 by abdo imad last updated on 02/Jan/18 $${find}\:{the}\:{value}\:{of}\:\:\int_{\mathrm{0}} ^{\propto\:} \frac{{ln}\left(\mathrm{1}+{t}^{\mathrm{2}} \right)}{\mathrm{1}−{t}^{\mathrm{2}} }\:{dt} \\ $$ Commented by abdo imad last updated on 08/Jan/18…
Question Number 27180 by abdo imad last updated on 02/Jan/18 $${find}\:{the}\:{value}\:{of}\:\:\int\int_{{D}} \:\:\frac{{x}^{\mathrm{2}} }{{y}^{\mathrm{2}} }\:{dxdy}\:\:{with} \\ $$$${D}\:=\left\{\left({x}\:,{y}\right)\in\mathbb{R}^{\mathrm{2}} \:/\:\:\:\mathrm{1}\leqslant{x}\leqslant\mathrm{2}\:\:{and}\:\:\frac{\mathrm{1}}{{x}}\leqslant{y}\leqslant\:{x}\:\:\right\}. \\ $$ Commented by abdo imad last updated…
Question Number 92700 by i jagooll last updated on 08/May/20 $$\underset{−\frac{\pi}{\mathrm{2}}} {\overset{\frac{\pi}{\mathrm{2}}} {\int}}\:\frac{\mathrm{tan}\:\left({x}^{\mathrm{2}} \right){dx}}{{x}}\:?\: \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 158230 by gsk2684 last updated on 01/Nov/21 $$\int\frac{\mathrm{1}}{\mathrm{1}+\mathrm{ln}\:{x}}{dx}=? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 158228 by Odhiambojr last updated on 01/Nov/21 $$\int\frac{\mathrm{5}{x}^{\mathrm{3}} −\mathrm{3}{x}^{\mathrm{2}} +\mathrm{7}{x}−\mathrm{3}}{\left({x}^{\mathrm{2}} +\mathrm{1}\right)^{\mathrm{2}} }{dx} \\ $$$${Solve}\:{by}\:{first}\:{finding}\:{the}\:{partial} \\ $$$${fraction} \\ $$ Answered by nimnim last updated…
Question Number 158209 by cortano last updated on 01/Nov/21 Answered by mr W last updated on 01/Nov/21 Commented by Rasheed.Sindhi last updated on 01/Nov/21 $${Mr}\:{cortano},\:{You}\:{should}\:{give}\:{more}…
Question Number 158207 by tounghoungko last updated on 01/Nov/21 Answered by qaz last updated on 01/Nov/21 $$\mathrm{I}=\int_{\mathrm{0}} ^{\infty} \frac{\mathrm{x}^{\mathrm{5}} \left(\mathrm{e}^{\mathrm{3x}} −\mathrm{e}^{\mathrm{x}} \right)}{\left(\mathrm{e}^{\mathrm{x}} −\mathrm{1}\right)^{\mathrm{4}} }\mathrm{dx} \\…
Question Number 92668 by john santu last updated on 08/May/20 $$\underset{\mathrm{0}} {\overset{\mathrm{p}} {\int}}\:\sqrt{\frac{\mathrm{x}}{\mathrm{c}−\mathrm{x}}}\:\mathrm{dx}\:?\: \\ $$ Commented by john santu last updated on 08/May/20 $$\mathrm{set}\:\mathrm{t}\:=\:\sqrt{\frac{{x}}{{c}−{x}}}\:,\:{x}\:=\:\frac{{ct}^{\mathrm{2}} }{\mathrm{1}+{t}^{\mathrm{2}}…
Question Number 158190 by Odhiambojr last updated on 31/Oct/21 $$\int\frac{\mathrm{5}{x}^{\mathrm{3}} −\mathrm{3}{x}^{\mathrm{2}} +\mathrm{7}{x}−\mathrm{3}}{\left({x}^{\mathrm{2}} +\mathrm{1}\right)^{\mathrm{2}} }{dx}\:{Solve}\:{by}\: \\ $$$${first}\:{giving}\:{the}\:{partial}\:{functions}\: \\ $$ Commented by benhamimed last updated on 31/Oct/21…
Question Number 158176 by Odhiambojr last updated on 31/Oct/21 $$\int\left\{\frac{{x}^{\mathrm{2}} −{x}−\mathrm{21}}{\mathrm{2}{x}^{\mathrm{3}} −{x}^{\mathrm{2}} +\mathrm{8}{x}−\mathrm{4}}\right\}{dx}\: \\ $$ Answered by MJS_new last updated on 31/Oct/21 $$=\int\frac{{x}^{\mathrm{2}} −{x}−\mathrm{21}}{\left(\mathrm{2}{x}−\mathrm{1}\right)\left({x}^{\mathrm{2}} +\mathrm{4}\right)}{dx}=…