Question Number 210112 by klipto last updated on 31/Jul/24 $$\boldsymbol{\mathrm{show}}\:\boldsymbol{\mathrm{that}} \\ $$$$\int_{\mathrm{0}} ^{\infty} \frac{\boldsymbol{\mathrm{x}}^{\boldsymbol{\mathrm{n}}} }{\left(\boldsymbol{\mathrm{x}}+\mathrm{1}\right)\left(\boldsymbol{\mathrm{ax}}+\boldsymbol{\mathrm{b}}\right)}\boldsymbol{\mathrm{dx}}=\frac{\left(\frac{\boldsymbol{\mathrm{b}}}{\boldsymbol{\mathrm{a}}}\right)^{\boldsymbol{\mathrm{n}}} −\mathrm{1}}{\boldsymbol{\mathrm{b}}−\boldsymbol{\mathrm{a}}}\boldsymbol{\pi\mathrm{csc}}\left(\boldsymbol{\pi\mathrm{n}}\right)\:\boldsymbol{\mathrm{a}}>\mathrm{0},\boldsymbol{\mathrm{b}}>\mathrm{0},\mid\boldsymbol{\mathrm{n}}\mid<\mathrm{1} \\ $$$$\boldsymbol{\mathrm{guys}}\:\boldsymbol{\mathrm{kill}}\:\boldsymbol{\mathrm{this}}\:\boldsymbol{\mathrm{let}}\:\boldsymbol{\mathrm{me}}\:\boldsymbol{\mathrm{see}} \\ $$ Answered by Spillover last updated…
Question Number 210032 by klipto last updated on 29/Jul/24 $$\int_{\mathrm{6}} ^{\mathrm{0}} \left(\mathrm{2}+\mathrm{5}\boldsymbol{\mathrm{x}}\right)\boldsymbol{\mathrm{e}}^{\frac{\mathrm{1}}{\mathrm{3}}\boldsymbol{\mathrm{x}}} \boldsymbol{\mathrm{dx}} \\ $$ Answered by Sutrisno last updated on 29/Jul/24 $$=\int_{\mathrm{6}} ^{\mathrm{0}} \mathrm{2}{e}^{\frac{\mathrm{1}}{\mathrm{3}}{x}}…
Question Number 210082 by klipto last updated on 30/Jul/24 $$\boldsymbol{\mathrm{prove}}\:\boldsymbol{\mathrm{that}} \\ $$$$\int_{\mathrm{0}} ^{\mathrm{1}} \frac{\boldsymbol{\mathrm{ln}}\left(\mathrm{1}−\boldsymbol{\mathrm{t}}+\boldsymbol{\mathrm{tx}}^{\mathrm{2}} \right)}{\boldsymbol{\mathrm{x}}^{\mathrm{2}} −\mathrm{1}}\mathrm{dx}=\left(\boldsymbol{\mathrm{sin}}^{−\mathrm{1}} \left(\sqrt{\boldsymbol{\mathrm{t}}}\right)\right)^{\mathrm{2}} \\ $$$$\boldsymbol{\mathrm{please}}\:\boldsymbol{\mathrm{anyone}}.. \\ $$ Answered by Frix last…
Question Number 209957 by Jubr last updated on 26/Jul/24 If x, y are contain in natural numbers and x² + y² = 613² Find the…
Question Number 209923 by OmoloyeMichael last updated on 26/Jul/24 $$\boldsymbol{{Solve}}:\:\int\frac{\boldsymbol{{sin}}\left(\boldsymbol{{x}}!\right)}{\boldsymbol{{x}}!}\boldsymbol{{dx}} \\ $$ Answered by MrGaster last updated on 03/Feb/25 $$\int\frac{\mathrm{sin}\left({x}!\right)}{{x}!}\mathrm{d}{x}=\underset{{k}=\mathrm{0}} {\overset{\infty} {\sum}}\int_{{k}\pi} ^{\left({k}+\mathrm{1}\right)} \frac{\mathrm{sin}\left({x}\right)!}{{x}!} \\…
Question Number 209800 by depressiveshrek last updated on 22/Jul/24 Commented by depressiveshrek last updated on 22/Jul/24 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{this}\:\mathrm{series} \\ $$ Answered by mr W last updated…
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Question Number 209662 by depressiveshrek last updated on 18/Jul/24 $$\int\frac{\mathrm{1}}{\mathrm{sin}^{\mathrm{2}} {x}\left(\mathrm{1}+\mathrm{cos}^{\mathrm{2}} {x}\right)}{dx} \\ $$ Answered by ARUNG_Brandon_MBU last updated on 18/Jul/24 $${I}=\int\frac{{dx}}{\mathrm{sin}^{\mathrm{2}} {x}\left(\mathrm{1}+\mathrm{cos}^{\mathrm{2}} {x}\right)} \\…
Question Number 209685 by uuuuu last updated on 18/Jul/24 Answered by lepuissantcedricjunior last updated on 23/Jul/24 $$\boldsymbol{{D}}.\boldsymbol{{arctan}}\left(\boldsymbol{{ta}}\overset{\mathrm{2}} {\boldsymbol{{n}x}}\right)+\boldsymbol{{c}} \\ $$ Terms of Service Privacy Policy…
Question Number 209691 by efronzo1 last updated on 18/Jul/24 $$\:\:\:\int\left(\mathrm{2x}^{\mathrm{3x}^{\mathrm{2}} +\mathrm{4x}−\mathrm{7}} \right)\left(\mathrm{log}\:_{\mathrm{2}} \:\left(\mathrm{x}^{\mathrm{2}} +\mathrm{3x}−\mathrm{7}\right)\right)\mathrm{e}^{\mathrm{x}^{\mathrm{2}} +\mathrm{3x}−\mathrm{5}} \:\mathrm{dx}=? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com