Question Number 33544 by math khazana by abdo last updated on 19/Apr/18 $$\left.\mathrm{1}\right)\:{find}\:{the}\:{value}\:{of}\:\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{\:{e}^{−{tx}^{\mathrm{2}} } }{\mathrm{1}+{x}^{\mathrm{2}} }\:{dx}\:{with}\:{t}\:>\mathrm{0} \\ $$$$\left.\mathrm{2}\right)\:{find}\:{the}\:{value}\:{of}\:\:\int_{\mathrm{0}} ^{\infty} \:\:\:\frac{\left(\mathrm{1}−{e}^{−{x}^{\mathrm{2}} } \right)}{{x}^{\mathrm{2}} \left(\mathrm{1}+{x}^{\mathrm{2}}…
Question Number 164605 by amin96 last updated on 19/Jan/22 Answered by Zaynal last updated on 19/Jan/22 $$\frac{\mathrm{In}\left(\mathrm{2}\right)^{\mathrm{2}} }{\mathrm{2}}−\frac{\mathrm{2}}{\mathrm{12}} \\ $$ Terms of Service Privacy Policy…
Question Number 33531 by Yozzzzy last updated on 18/Apr/18 $$\int_{\mathrm{0}} ^{\infty} \frac{{e}^{−{x}^{\mathrm{2}} } }{{x}^{\mathrm{2}} +\mathrm{1}}{dx}=? \\ $$ Commented by Rasheed.Sindhi last updated on 18/Apr/18 $$\mathrm{Ve}….\mathrm{ry}\:\mathrm{happy}\:\mathrm{to}\:\mathrm{see}\:\mathrm{you}\:\mathrm{back}\:\mathrm{again},\:…
Question Number 164598 by Zaynal last updated on 19/Jan/22 $$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\boldsymbol{\mathrm{Prove}}\:\boldsymbol{\mathrm{that}}; \\ $$$$\:\:\:\:\:\:\int_{−\infty} ^{\infty} \:\boldsymbol{{y}}\:\boldsymbol{{tan}}\:\boldsymbol{{x}}\:+\:\boldsymbol{{y}}^{\mathrm{3}} \:\:\boldsymbol{{tan}}\:\:\boldsymbol{{x}}\:\boldsymbol{{dx}}\:=\:\boldsymbol{{undefined}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 164600 by mathlove last updated on 19/Jan/22 Answered by Zaynal last updated on 19/Jan/22 $$\mathrm{1}.\:\frac{\mathrm{1}}{\mathrm{5}}\mathrm{arcsec}\left(\frac{\mathrm{2}}{\mathrm{5}}\boldsymbol{{x}}\right)+\boldsymbol{\mathrm{C}} \\ $$$$\mathrm{2}.\frac{\mathrm{a}\boldsymbol{{rctan}}\left(\frac{\boldsymbol{{t}}^{\mathrm{2}} }{\mathrm{8}}\right)}{\mathrm{16}}\:+\:\boldsymbol{{C}}\:,\boldsymbol{{C}}\in\mathbb{R} \\ $$$$\mathrm{3}.\frac{\boldsymbol{\mathrm{arcsin}}\left(\frac{\mathrm{7}\boldsymbol{\mathrm{y}}}{\mathrm{3}}\right)}{\mathrm{7}}+\boldsymbol{\mathrm{C}},\mathrm{C}\in\mathbb{R} \\ $$ Answered…
Question Number 164589 by Zaynal last updated on 19/Jan/22 $$\int\:\mathrm{A}.\:^{\mathrm{5}} \sqrt{\boldsymbol{\mathrm{x}}^{\mathrm{3}} \:\:}\:\boldsymbol{\mathrm{dx}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 164590 by Zaynal last updated on 19/Jan/22 $$\int\:\frac{\mathrm{In}\left(\mathrm{x}^{\mathrm{2}} .\boldsymbol{{e}}^{\boldsymbol{{cos}}\mathrm{2}} \right)}{\boldsymbol{\mathrm{x}}}\:\boldsymbol{\mathrm{dx}} \\ $$ Answered by mahdipoor last updated on 19/Jan/22 $$=\int\frac{{cos}\mathrm{2}+\mathrm{2}{lnx}}{{x}}{dx}={lnx}.{cos}\mathrm{2}+{ln}^{\mathrm{2}} {x}+{C} \\ $$…
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Question Number 99044 by mashallah last updated on 18/Jun/20 $$\int\frac{\mathrm{1}}{\mathrm{x}^{\mathrm{2}} +\mathrm{1}}\mathrm{dx}=? \\ $$ Answered by bemath last updated on 18/Jun/20 $$\mathrm{arc}\:\mathrm{tan}\:\mathrm{x}\:+\:\mathrm{c} \\ $$ Answered by…
Question Number 33507 by MJS last updated on 18/Apr/18 $$\int\frac{\mathrm{2cos}\:{x}}{\mathrm{3}−\mathrm{cos}\:\mathrm{2}{x}}{dx}=? \\ $$ Answered by math1967 last updated on 18/Apr/18 $$\int\frac{\mathrm{2}{cosx}}{\mathrm{3}−\mathrm{1}+\mathrm{2}{sin}^{\mathrm{2}} {x}}{dx} \\ $$$$\int\frac{\mathrm{2}{cosx}}{\mathrm{2}\left(\mathrm{1}+{sin}^{\mathrm{2}} {x}\right)}{dx} \\…