Question Number 11436 by @ANTARES_VY last updated on 26/Mar/17 $$ \\ $$$$\underset{\mathrm{0}} {\overset{\frac{\boldsymbol{\pi}}{\mathrm{4}}} {\int}}\boldsymbol{\mathrm{sinx}}×\boldsymbol{\mathrm{cos}}^{\mathrm{7}} \boldsymbol{\mathrm{x}}\:\boldsymbol{\mathrm{dx}}. \\ $$$$\boldsymbol{\mathrm{solves}}… \\ $$ Commented by FilupS last updated on…
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Question Number 142504 by rs4089 last updated on 01/Jun/21 Answered by mnjuly1970 last updated on 01/Jun/21 $$\:\:\frac{\pi^{\mathrm{2}} }{\mathrm{12}}{ln}\left(\mathrm{2}\right)−\frac{\mathrm{5}}{\mathrm{16}}\:\zeta\:\left(\mathrm{3}\right)\:….\checkmark \\ $$ Terms of Service Privacy Policy…
Question Number 11433 by FilupS last updated on 26/Mar/17 $$\mathrm{for}\:{r}=\frac{\mathrm{1}}{\theta},\:\mathrm{show}\:\mathrm{that}\:\mathrm{the}\:\mathrm{arc}\:\mathrm{length}\:\mathrm{between} \\ $$$$\theta=\mathrm{3}\pi^{−\mathrm{1}} \:\:\mathrm{and}\:\theta={n}\pi^{−\mathrm{1}} \:\:\:\left(\mathrm{where}\:\:{n}>\mathrm{3}\right)\:\:\mathrm{is}\:\mathrm{aproxiately} \\ $$$$\mathrm{equal}\:\mathrm{to}\:\mathrm{the}\:\mathrm{length}\:\mathrm{of}\:\mathrm{the}\:\mathrm{line}\:{y}=\mathrm{3}\pi^{−\mathrm{1}} \\ $$$$\mathrm{between}\:\mathrm{the}\:\mathrm{same}\:\mathrm{bounds}.\:\mathrm{Or}\:\mathrm{show}\:\mathrm{otherwise}. \\ $$$$ \\ $$ Commented by FilupS…
Question Number 76967 by Maclaurin Stickker last updated on 01/Jan/20 $$\int_{\mathrm{0}} ^{\infty} \frac{{cos}\left(\sqrt{{x}}\right)}{{e}^{\mathrm{2}\pi\sqrt{{x}}} −\mathrm{1}}{dx}+\underset{{n}=\mathrm{0}} {\overset{\infty} {\sum}}\:\frac{{n}}{{e}^{{n}\:} }=? \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 142503 by Gbenga last updated on 01/Jun/21 Answered by mr W last updated on 01/Jun/21 $${x}^{{x}^{\mathrm{40}} } =\mathrm{50}^{{x}} \\ $$$${x}^{{x}^{\mathrm{39}} } =\mathrm{50} \\…
Question Number 76964 by peter frank last updated on 01/Jan/20 $${solve}\:{Differential}\:\:{equation} \\ $$$${x}^{\mathrm{2}} \frac{{d}^{\mathrm{2}} {y}}{{dx}^{\mathrm{2}} }−\mathrm{4}{x}\frac{{dy}}{{dx}}+\mathrm{3}{y}={x}^{\mathrm{3}} +\mathrm{2}{x}+\mathrm{5} \\ $$ Answered by mind is power last…
Question Number 11429 by @ANTARES_VY last updated on 25/Mar/17 $$\underset{\mathrm{0}} {\overset{\mathrm{3}} {\int}}\frac{\mathrm{2}\boldsymbol{\mathrm{x}}+\mathrm{3}}{\mathrm{2}\boldsymbol{\mathrm{x}}+\mathrm{1}}\boldsymbol{\mathrm{dx}}=\boldsymbol{\alpha}+\boldsymbol{\mathrm{ln}}\mathrm{7}. \\ $$$$\boldsymbol{\alpha}=? \\ $$$$\boldsymbol{\mathrm{please}}…… \\ $$ Answered by FilupS last updated on 26/Mar/17…
Question Number 142502 by nkuly last updated on 01/Jun/21 $$\frac{{dy}}{{dx}}\: \\ $$$${y}=\:\mathrm{3}{a}^{{x}} −\mathrm{cot}\:\mathrm{2}{x} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 76965 by peter frank last updated on 02/Jan/20 $${Evaluate} \\ $$$${I}_{{ab}} =\int\mathrm{sin}\:{ax}\mathrm{cos}\:{bxdx} \\ $$$${if}\:{a}\neq{b}\:{and}\:{use}\:{it}\:{to} \\ $$$$\int_{\mathrm{0}} ^{{n}} \mathrm{sin}\:\mathrm{3}{x}\mathrm{cos}\:\mathrm{2}{xdx}=\frac{\mathrm{3}−\sqrt{\mathrm{3}}}{\mathrm{5}} \\ $$ Answered by mr…