Question Number 136400 by mathmax by abdo last updated on 21/Mar/21 $$\mathrm{calculate}\:\:\int\int_{\left[\mathrm{0},\mathrm{1}\right]^{\mathrm{2}} } \:\:\mathrm{e}^{−\left(\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} \right)} \:\:\:\mathrm{arctan}\left(\mathrm{x}^{\mathrm{2}} \:+\mathrm{y}^{\mathrm{2}} \right)\mathrm{dxdy} \\ $$ Terms of Service Privacy…
Question Number 136401 by mathmax by abdo last updated on 21/Mar/21 $$\mathrm{find}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{\mathrm{arctan}\left(\mathrm{x}^{\mathrm{2}} \right)}{\mathrm{x}^{\mathrm{4}} \:+\mathrm{1}}\mathrm{dx} \\ $$ Answered by Dwaipayan Shikari last updated on…
Question Number 136406 by mathmax by abdo last updated on 21/Mar/21 $$\mathrm{calculate}\:\:\mathrm{A}_{\lambda} =\int_{\mathrm{0}} ^{\infty} \:\:\frac{\mathrm{cos}^{\mathrm{4}} \mathrm{x}}{\left(\mathrm{x}^{\mathrm{2}} \:+\lambda^{\mathrm{2}} \right)^{\mathrm{2}} }\mathrm{dx} \\ $$$$\left.\mathrm{2}\right)\:\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\int_{\mathrm{0}} ^{\infty} \:\frac{\mathrm{cos}^{\mathrm{4}} \mathrm{x}}{\left(\mathrm{x}^{\mathrm{2}} \:+\mathrm{3}\right)^{\mathrm{2}}…
Question Number 136402 by mathmax by abdo last updated on 21/Mar/21 $$\mathrm{find}\:\mathrm{U}_{\mathrm{n}} =\int_{\frac{\mathrm{1}}{\mathrm{n}}} ^{\mathrm{n}} \:\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{x}^{\mathrm{2}} }\right)\mathrm{arctan}\left(\mathrm{x}+\frac{\mathrm{1}}{\mathrm{x}}\right)\mathrm{dx} \\ $$$$\mathrm{and}\:\mathrm{lim}_{\mathrm{n}\rightarrow\infty} \mathrm{U}_{\mathrm{n}} \\ $$ Terms of Service Privacy…
Question Number 136403 by mathmax by abdo last updated on 21/Mar/21 $$\mathrm{find}\:\int\:\frac{\mathrm{arctan}\left(\mathrm{2x}\right)}{\mathrm{x}+\mathrm{3}}\mathrm{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 136396 by mathmax by abdo last updated on 21/Mar/21 $$\mathrm{find}\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\frac{\mathrm{x}^{\mathrm{a}} }{\mathrm{1}−\mathrm{x}}\mathrm{dx} \\ $$ Commented by Dwaipayan Shikari last updated on 21/Mar/21…
Question Number 136399 by mathmax by abdo last updated on 21/Mar/21 $$\mathrm{calculate}\:\int\:\:\frac{\mathrm{dx}}{\mathrm{x}^{\mathrm{n}} \sqrt{\mathrm{x}^{\mathrm{2}} −\mathrm{1}}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 136381 by mnjuly1970 last updated on 21/Mar/21 $$\:\:\:\:\:\:\:\:\:\:\:\:\:……{sdvanced}\:\:\:{cslculus}…… \\ $$$$\:{if}\:\:{x}\in\mathbb{R}^{+} \:{and}::\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\boldsymbol{\phi}\left({x}\right)=\int_{\mathrm{0}} ^{\:{x}} \frac{{e}^{{t}} −\mathrm{1}}{{t}}{ln}\left(\frac{{x}}{{t}}\right){dt} \\ $$$$\:\:{then}\:{prove}\:\:{that}\::: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\Psi=\int_{\mathrm{0}} ^{\:\infty} {e}^{−{x}} \boldsymbol{\phi}\left({x}\right){dx}=\zeta\left(\mathrm{2}\right)…
Question Number 70842 by oyemi kemewari last updated on 08/Oct/19 Commented by oyemi kemewari last updated on 08/Oct/19 please explain line 9 to 10 Terms of Service Privacy Policy Contact:…
Question Number 136365 by liberty last updated on 21/Mar/21 $$\int\:\frac{{dx}}{\mathrm{sin}\:{x}\:\sqrt{\mathrm{cos}\:{x}}}\:=? \\ $$ Answered by mathmax by abdo last updated on 21/Mar/21 $$\mathrm{I}\:=\int\:\frac{\mathrm{dx}}{\mathrm{sinx}\sqrt{\mathrm{cosx}}}\:\:\mathrm{we}\:\mathrm{do}\:\mathrm{the}\:\mathrm{changement}\:\mathrm{cosx}=\mathrm{t}^{\mathrm{2}} \:\Rightarrow\mathrm{x}=\mathrm{arcos}\left(\mathrm{t}^{\mathrm{2}} \right) \\…