Question Number 32477 by prof Abdo imad last updated on 25/Mar/18 $${calcilate}\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\frac{{ln}\left(\mathrm{1}−{x}^{\mathrm{2}} \right)}{{x}^{\mathrm{2}} }{dx} \\ $$ Commented by prof Abdo imad last updated…
Question Number 32478 by prof Abdo imad last updated on 25/Mar/18 $${find}\:\:\int_{\mathrm{0}} ^{\infty} \:{ln}\left(\frac{\mathrm{1}+{t}^{\mathrm{2}} }{{t}^{\mathrm{2}} }\right){dt} \\ $$ Commented by prof Abdo imad last updated…
Question Number 163497 by Zaynal last updated on 07/Jan/22 Commented by Clide17 last updated on 07/Jan/22 $$\mathrm{The}\:\mathrm{function}\:\mathrm{is}\:{discontinuous}\:\mathrm{at}\:\mathrm{interval}\:\left[\mathrm{0},\:\mathrm{3}\right]. \\ $$ Answered by TheSupreme last updated on…
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Question Number 163490 by Zaynal last updated on 07/Jan/22 $$\int_{\mathrm{0}} ^{\infty} \:\frac{\boldsymbol{{x}}^{\mathrm{3}} }{\boldsymbol{{e}}^{\boldsymbol{{x}}} \:−\mathrm{1}}\:\boldsymbol{{dx}} \\ $$ Answered by mnjuly1970 last updated on 07/Jan/22 $$\:\:\:\:\Gamma\:\left(\mathrm{4}\right).\zeta\:\left(\mathrm{4}\right)=\:\frac{\pi^{\:\mathrm{4}} }{\mathrm{15}}…
Question Number 163483 by Zaynal last updated on 07/Jan/22 Answered by alephzero last updated on 07/Jan/22 $$\int_{\mathrm{0}} ^{\mathrm{1}} \mathrm{4}{x}^{\mathrm{3}} \left\{\frac{{d}^{\mathrm{2}} }{{dx}^{\mathrm{2}} }\left(\mathrm{1}−{x}^{\mathrm{2}} \right)^{\mathrm{5}} \right\}{dx}\:=\:? \\…
Question Number 163481 by smallEinstein last updated on 07/Jan/22 Answered by Mathspace last updated on 07/Jan/22 $$\Psi_{{n}} =\int_{\mathrm{0}} ^{\infty} \:{cos}\left({x}^{{n}} \right){logx}\:{dx} \\ $$$${letf}\left({a}\right)=\int_{\mathrm{0}} ^{\infty} {x}^{{a}}…
Question Number 163472 by Zaynal last updated on 07/Jan/22 $$\int_{\mathrm{0}} ^{\mathrm{3}} \:\frac{\boldsymbol{\mathrm{xdx}}}{\boldsymbol{\mathrm{x}}^{\mathrm{3}} \:+\:\mathrm{2}\boldsymbol{\mathrm{x}}^{\mathrm{2}} \:+\:\boldsymbol{\mathrm{x}}\:\mathrm{2}}\:= \\ $$ Answered by alephzero last updated on 07/Jan/22 $$\int_{\mathrm{0}} ^{\mathrm{3}}…
Question Number 163473 by Zaynal last updated on 07/Jan/22 Commented by riyaj last updated on 07/Jan/22 $$ \\ $$ Commented by Zaynal last updated on…