Question Number 148754 by mathdanisur last updated on 30/Jul/21 Commented by liberty last updated on 31/Jul/21 $$\mathrm{ans}:\:\mathrm{850} \\ $$ Answered by liberty last updated on…
Question Number 83214 by mathmax by abdo last updated on 28/Feb/20 $${calculate}\:\:{U}_{{n}} =\sum_{{k}=\mathrm{0}} ^{{n}} \:\frac{\mathrm{1}}{\mathrm{3}{k}+\mathrm{1}}\:{interms}\:{of}\:{H}_{{n}} =\sum_{{k}=\mathrm{1}} ^{{n}} \:\frac{\mathrm{1}}{{k}} \\ $$ Answered by ~blr237~ last updated…
Question Number 83213 by ~blr237~ last updated on 28/Feb/20 $${Prove}\:\:{that}\:\:\forall\:\theta\in\mathbb{R}\:\:\:\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\mathrm{3}^{{n}−\mathrm{1}} {sin}^{\mathrm{3}} \left(\frac{\theta}{\mathrm{3}^{{n}} }\right)=\:\frac{\theta−{sin}\theta}{\mathrm{4}}\: \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 17676 by mondodotto@gmail.com last updated on 09/Jul/17 Answered by alex041103 last updated on 09/Jul/17 $$\mathrm{First}: \\ $$$$\frac{\mathrm{5cos}^{\mathrm{3}} \mathrm{x}\:+\:\mathrm{2sin}^{\mathrm{3}} \mathrm{x}}{\mathrm{2sin}^{\mathrm{2}} \mathrm{xcos}^{\mathrm{2}} \mathrm{x}}\:=\:\frac{\mathrm{5}}{\mathrm{2}}\:\frac{\mathrm{cosx}}{\mathrm{sin}^{\mathrm{2}} \mathrm{x}}+\frac{\mathrm{sinx}}{\mathrm{cos}^{\mathrm{2}} \mathrm{x}}…
Question Number 148745 by Jonathanwaweh last updated on 30/Jul/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 17675 by mondodotto@gmail.com last updated on 09/Jul/17 Answered by Tinkutara last updated on 10/Jul/17 $$\mathrm{Let}\:{a}^{{y}} \:=\:{x}\:\left(\boldsymbol{{i}}\right) \\ $$$$\mathrm{Taking}\:\mathrm{log}\:\mathrm{on}\:\mathrm{both}\:\mathrm{sides},\:\mathrm{log}_{{a}} \:{x}\:=\:{y} \\ $$$$\mathrm{Substituting}\:\mathrm{this}\:\mathrm{value}\:\mathrm{of}\:{y}\:\mathrm{in}\:\left(\boldsymbol{{i}}\right),\:\mathrm{we} \\ $$$$\mathrm{get}\:\boldsymbol{{a}}^{\boldsymbol{\mathrm{log}}_{\boldsymbol{{a}}}…
Question Number 148746 by mathdanisur last updated on 30/Jul/21 $${if}\:\:\:{x}\:-\:{y}\:=\:{y}\:-\:{z}\:=\:\mathrm{4} \\ $$$${find}\:\:\:{x}^{\mathrm{2}} \:+\:{z}^{\mathrm{2}} \:-\:\mathrm{2}{y}^{\mathrm{2}} \:=\:? \\ $$ Answered by Rasheed.Sindhi last updated on 30/Jul/21 $${if}\:\:\:{x}\:-\:{y}\:=\:{y}\:-\:{z}\:=\:\mathrm{4}…
Question Number 83209 by ~blr237~ last updated on 28/Feb/20 $$\:\:\:{Prove}\:{that}\:\:\forall\:\:{x}\neq\frac{\pi}{\mathrm{4}}\:\:\:,\:\:\underset{{n}=\mathrm{0}} {\overset{\infty} {\prod}}\left(\frac{{cos}\left(\frac{{x}}{\mathrm{2}^{{n}} }\right)+{cos}\left(\frac{\pi−\mathrm{2}{x}}{\mathrm{2}^{{n}+\mathrm{1}} }\right)}{\mathrm{2}}\:\right)\:=\:\frac{\mathrm{4}{cos}\mathrm{2}{x}}{\pi\left(\pi−\mathrm{4}{x}\right)}\: \\ $$ Answered by mind is power last updated on 28/Feb/20…
Question Number 83206 by mathmax by abdo last updated on 28/Feb/20 $$\left.\mathrm{1}\right)\:{find}\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{4}}} \:\frac{{dx}}{\mathrm{2}+{a}\:{sinx}}\:\:\:\:\left({areal}\right) \\ $$$$\left.\mathrm{2}\right)\:{c}\:{explicite}\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{4}}} \:\frac{{sinx}}{\left(\mathrm{2}+{asinx}\right)^{\mathrm{2}} }{dx} \\ $$ Commented by mathmax by…
Question Number 83204 by M±th+et£s last updated on 28/Feb/20 $$\int_{{t}−\mathrm{1}} ^{{t}} {ln}\left({x}!\right){dx}=? \\ $$ Commented by MJS last updated on 28/Feb/20 $$\mathrm{if}\:\mathrm{you}\:\mathrm{use}\:{x}!\:\mathrm{it}'\mathrm{s}\:\mathrm{only}\:\mathrm{defined}\:\mathrm{for}\:{x}\in\mathbb{N}\:\Rightarrow\:\mathrm{no} \\ $$$$\mathrm{integral}\:\mathrm{possible} \\…