Question Number 136942 by Mathspace last updated on 28/Mar/21 $${calculate}\:\int_{−\infty} ^{\infty} \:\:\frac{{x}^{\mathrm{2}} {dx}}{\left({x}^{\mathrm{2}} −\mathrm{2}{x}+\mathrm{5}\right)^{\mathrm{3}} } \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 5866 by sanusihammed last updated on 02/Jun/16 $${Solve}\:{integral}\:{of}\:\:\:{sec}\left({x}\right){dx}\:\:.\:\:{given}\:{that}\:\:{t}\:=\:{tan}\left(\frac{{x}}{\mathrm{2}}\right) \\ $$ Answered by Yozzii last updated on 02/Jun/16 $${Let}\:{t}={tan}\mathrm{0}.\mathrm{5}{x}\Rightarrow{dt}=\mathrm{0}.\mathrm{5}{sec}^{\mathrm{2}} \mathrm{0}.\mathrm{5}{xdx} \\ $$$${dx}=\frac{\mathrm{2}{dt}}{\mathrm{1}+{t}^{\mathrm{2}} } \\…
Question Number 136935 by metamorfose last updated on 27/Mar/21 $$\int{cos}\left({x}\right){e}^{{cos}\left({x}\right)+{sin}\left({x}\right)} {dx}=…? \\ $$ Answered by liberty last updated on 27/Mar/21 $$\int\:\mathrm{cos}\:\mathrm{x}.\mathrm{e}^{\mathrm{cos}\:\mathrm{x}} .\mathrm{e}^{\mathrm{sin}\:\mathrm{x}} \:\mathrm{dx}\:= \\ $$$$\mathrm{by}\:\mathrm{parts}…
Question Number 71396 by mhmd last updated on 15/Oct/19 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 136929 by liberty last updated on 27/Mar/21 $$\int\:\frac{\mathrm{e}^{\mathrm{ln}\:\left(\mathrm{sin}^{−\mathrm{1}} \mathrm{x}\right)} }{\:\sqrt{\mathrm{1}−\mathrm{x}^{\mathrm{2}} }}\:\mathrm{dx}\:=\:?\: \\ $$ Answered by Dwaipayan Shikari last updated on 27/Mar/21 $$\int\frac{{e}^{{log}\left({sin}^{−\mathrm{1}} {x}\right)}…
Question Number 5859 by wanderer last updated on 02/Jun/16 $${what}\:{is}\:{the}\:{intutive}\:{understanding}\:{of}\: \\ $$$${eigenvalues}\:{and}\:{vectors}.{with}\:{practical}\: \\ $$$${examples}. \\ $$ Commented by FilupSmith last updated on 02/Jun/16 $$\mathrm{A}\:\mathrm{vector}\:\mathrm{is}\:\mathrm{a}\:\mathrm{direction}\:\mathrm{and}\:\mathrm{magnitude}. \\…
Question Number 5857 by FilupSmith last updated on 02/Jun/16 $$\mathrm{tan}\:\theta\:=\:\frac{{b}}{{a}} \\ $$$$\mathrm{For}\:\mathrm{what}\:\mathrm{range}/\mathrm{values}\:\mathrm{of}\:\theta\:\mathrm{gives} \\ $$$${a}\geqslant{b}? \\ $$ Answered by 123456 last updated on 02/Jun/16 $${a}\geqslant{b} \\…
Question Number 136930 by I want to learn more last updated on 27/Mar/21 Commented by I want to learn more last updated on 27/Mar/21 Commented…
Question Number 5855 by sanusihammed last updated on 01/Jun/16 $${If}\:\:\:{xy}^{\mathrm{3}\:} \:=\:\:{sin}\left({xy}\right) \\ $$$$ \\ $$$${find}\:\:\:\:\frac{{d}^{\mathrm{2}} {y}}{{dx}^{\mathrm{2}} } \\ $$$$ \\ $$$${Please}\:{i}\:{need}\:{help}.\:{thanks}\:{for}\:{your}\:{effort} \\ $$ Answered by…
Question Number 136921 by mnjuly1970 last updated on 27/Mar/21 $$\:\:\:\:\:{evaluation}\:{of}\:::\:\boldsymbol{\phi}=\int_{\mathrm{0}} ^{\:\mathrm{1}} \frac{{xln}\left(\mathrm{1}+{x}\right)}{\mathrm{1}+{x}^{\mathrm{2}} }{dx} \\ $$$$\:\:{solution}: \\ $$$$\:\:\:\:\boldsymbol{\phi}\overset{{I}.{B}.{P}\:} {=}\left[\frac{\mathrm{1}}{\mathrm{2}}{ln}\left(\mathrm{1}+{x}^{\mathrm{2}} \right){ln}\left(\mathrm{1}+{x}\right)\right]_{\mathrm{0}} ^{\mathrm{1}} −\frac{\mathrm{1}}{\mathrm{2}}\left\{\int_{\mathrm{0}} ^{\:\mathrm{1}} \frac{{ln}\left(\mathrm{1}+{x}^{\mathrm{2}} \right)}{\mathrm{1}+{x}}{dx}=\boldsymbol{\Phi}\right\} \\…