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Author: Tinku Tara

4-x-2-x-dx-

Question Number 136948 by leena12345 last updated on 28/Mar/21 $$\int\frac{\sqrt{\mathrm{4}+{x}^{\mathrm{2}} }}{{x}}{dx} \\ $$ Answered by Olaf last updated on 28/Mar/21 $$\mathrm{F}\left({x}\right)\:=\:\int\frac{\sqrt{\mathrm{4}+{x}^{\mathrm{2}} }}{{x}}\:{dx} \\ $$$$\mathrm{F}\left({u}\right)\:\overset{{x}=\mathrm{2sh}{u}} {=}\:\:\:\:\int\frac{\sqrt{\mathrm{4}+\mathrm{4sh}^{\mathrm{2}}…

Question-136950

Question Number 136950 by BHOOPENDRA last updated on 28/Mar/21 Answered by Olaf last updated on 28/Mar/21 $$\overset{\wedge} {{f}}\:^{{c}} \left(\nu\right)\:=\:\int_{−\infty} ^{+\infty} {f}\left({s}\right)\mathrm{cos}\left(\mathrm{2}\pi\nu{s}\right){ds}\:=\:\mathrm{Re}\overset{\wedge} {{f}}\left(\nu\right) \\ $$$$\mathcal{F}\left(\frac{\mathrm{1}}{{s}}\right)\:=\:−{i}\pi\mathrm{sign}\left(\nu\right) \\…

Question-71410

Question Number 71410 by TawaTawa last updated on 15/Oct/19 Answered by MJS last updated on 15/Oct/19 $${A}=\begin{pmatrix}{\mathrm{0}}\\{\mathrm{0}}\end{pmatrix}\:\:{B}=\begin{pmatrix}{{p}}\\{\mathrm{0}}\end{pmatrix}\:\:{C}=\begin{pmatrix}{{p}}\\{{q}}\end{pmatrix}\:\:{D}=\begin{pmatrix}{\mathrm{0}}\\{{q}}\end{pmatrix} \\ $$$${DC}:\:{y}={q} \\ $$$${AC}:\:{y}=\frac{{q}}{{p}}{x} \\ $$$${BE}:\:{y}=−\frac{{p}}{{q}}{x}+\frac{{p}^{\mathrm{2}} }{{q}} \\…

Differentiate-cosh-1-x-2-1-dy-dx-if-the-given-function-is-y-sinh-1-coth-x-2-Please-help-

Question Number 5873 by sanusihammed last updated on 02/Jun/16 $${Differentiate}\:\:\:{cosh}^{−\mathrm{1}} \left({x}^{\mathrm{2}} \:+\:\mathrm{1}\right)\:\frac{{dy}}{{dx}}.\:\:\:{if}\:{the}\:{given}\:{function}\:{is}\: \\ $$$${y}\:=\:{sinh}^{−\mathrm{1}} \left[{coth}\left({x}^{\mathrm{2}} \right)\right] \\ $$$$ \\ $$$${Please}\:{help}. \\ $$ Terms of Service…