Question Number 226340 by Spillover last updated on 25/Nov/25 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 225651 by saqiba last updated on 05/Nov/25 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 225047 by fantastic last updated on 16/Oct/25 $$\int\:{x}^{{x}} \:{dx} \\ $$ Answered by Ghisom_ last updated on 16/Oct/25 $$\mathrm{impossible} \\ $$ Commented by…
Question Number 223735 by Nicholas666 last updated on 03/Aug/25 $$\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\boldsymbol{\mathrm{for}}\:\boldsymbol{\mathrm{all}}\:\:{n}\:\in\:\mathbb{Z}\:, \\ $$$$\:\:\:\:\:\boldsymbol{\mathrm{Show}}\:\boldsymbol{\mathrm{that}}\:\tau\:\left(\:\varphi\:\left(\:{n}\:\right)\right)\:\geqslant\:\varphi\:\left(\tau\:\left({n}\:\right)\right) \\ $$$$ \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 223006 by mnjuly1970 last updated on 12/Jul/25 $$ \\ $$$$\:\:\:\:\:\:\:\:\mathscr{L}\:\:\left\{\:{tsin}\left(\sqrt{{t}}\:\right)\right\}=? \\ $$ Answered by MrGaster last updated on 12/Jul/25 $$\mathscr{L}\:\:\left\{\:{tsin}\left(\sqrt{{t}}\:\right)\right\}=\int_{\mathrm{0}} ^{\infty} {e}^{−{st}} {t}\:\mathrm{sin}\left(\sqrt{{t}}\right){dt}…
Question Number 222778 by Osefavour last updated on 07/Jul/25 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\mathrm{2log}\left(\mathrm{1}+\mathrm{x}\right)−\frac{\mathrm{x}\left(\mathrm{3x}+\mathrm{2}\right)}{\left(\mathrm{x}+\mathrm{1}\right)^{\mathrm{2}} }}{\mathrm{x}^{\mathrm{3}} } \\ $$ Answered by MrGaster last updated on 09/Jul/25 $$=\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\mathrm{2}\left({x}−\frac{{x}^{\mathrm{2}} }{\mathrm{2}}+\frac{{x}^{\mathrm{3}}…
Question Number 222601 by MathematicalUser2357 last updated on 01/Jul/25 $$\mathrm{L}\:\mathrm{60} \\ $$$$ \\ $$$$\mathrm{1}.\:\: \\ $$ Commented by MathematicalUser2357 last updated on 01/Jul/25 $$\mathrm{The}\:“\mathrm{L}''\:\mathrm{is}\:\mathrm{the}\:\mathrm{Grade}\:\mathrm{letter} \\…
Question Number 222427 by Nadirhashim last updated on 26/Jun/25 $$\:\:\boldsymbol{{if}}\:\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\left(\frac{\boldsymbol{{sin}}\mathrm{2}\boldsymbol{{x}}}{\boldsymbol{{x}}^{\mathrm{3}} }+\frac{\boldsymbol{{a}}}{\boldsymbol{{x}}^{\mathrm{2}} }+\boldsymbol{{b}}\right)=\mathrm{1}\: \\ $$$$\:\:\:\:\boldsymbol{{find}}\:\boldsymbol{{a}}\:\boldsymbol{{and}}\:\boldsymbol{{b}}\:\:\boldsymbol{{without}} \\ $$$$\:\:\:\:\:\:\boldsymbol{{using}}\:\boldsymbol{{LH}}{opial}\:{rule} \\ $$ Answered by mr W last updated…
Question Number 222389 by MrGaster last updated on 25/Jun/25 $$\mathrm{Prove}: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\int_{\mathrm{0}} ^{\infty} \frac{\mathrm{cos}\left({nx}\right)\mathrm{cos}\left({p}\:\mathrm{arctan}\:{x}\right)}{\left(\mathrm{1}+{x}^{\mathrm{2}} \right)^{\frac{{p}}{\mathrm{2}}} }=\frac{\pi}{\mathrm{2}}\:\frac{{n}^{{p}−\mathrm{1}} {e}^{−{n}} }{\Gamma\left({p}\right)}\:\left({p}>\mathrm{0}\right) \\ $$ Terms of Service Privacy Policy…
Question Number 222359 by MathematicalUser2357 last updated on 23/Jun/25 $$\left(\mathrm{1}\right)\:\left[{ax}^{\mathrm{3}} +{bx}^{\mathrm{2}} +{cx}+{d}\right]_{{x}} ' \\ $$$$\left(\mathrm{2}\right)\:\left[{x}\left({x}−{a}\right)^{\mathrm{2}} \right]_{{x}} ' \\ $$$$\left(\mathrm{3}\right)\:\left[\left({x}^{\mathrm{2}} −{x}\right)\left({x}^{\mathrm{2}} −\mathrm{4}\right)\right]_{{x}} ' \\ $$$$\left(\mathrm{4}\right)\:\left[\left({x}+\mathrm{2}\right)\left({x}−\mathrm{5}\right)\left({x}−\mathrm{1}\right)\right]_{{x}} '…