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Author: Tinku Tara

sin-4-x-cos-3-x-dx-

Question Number 13000 by Joel577 last updated on 10/May/17 $$\int\:\mathrm{sin}^{\mathrm{4}} \:{x}\:\mathrm{cos}^{\mathrm{3}} \:{x}\:{dx} \\ $$ Commented by Joel577 last updated on 10/May/17 $$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{idea}\:\mathrm{to}\:\mathrm{solve}\:\mathrm{that}\:\mathrm{problem}? \\ $$ Commented…

S-2019-1-1-2-2-1-3-2-1-2019-2-

Question Number 144068 by SOMEDAVONG last updated on 21/Jun/21 $$\mathrm{S}_{\mathrm{2019}} =\mathrm{1}+\:\frac{\mathrm{1}}{\mathrm{2}^{\mathrm{2}} }\:+\:\frac{\mathrm{1}}{\mathrm{3}^{\mathrm{2}} }\:+\:…+\:\frac{\mathrm{1}}{\mathrm{2019}^{\mathrm{2}} }\:=? \\ $$ Answered by Olaf_Thorendsen last updated on 21/Jun/21 $$\mathrm{S}_{\mathrm{2019}} \:=\:\underset{{n}=\mathrm{1}}…

Question-144064

Question Number 144064 by 0731619 last updated on 21/Jun/21 Answered by MJS_new last updated on 21/Jun/21 $$\mathrm{simply}\:\mathrm{let}\:{t}=\mathrm{tan}\:{x} \\ $$$$\Rightarrow\:\mathrm{answer}\:\mathrm{is} \\ $$$$−\frac{{x}}{{b}^{\mathrm{2}} }+\frac{\sqrt{{a}^{\mathrm{2}} +{b}^{\mathrm{2}} }}{{ab}^{\mathrm{2}} }\mathrm{arctan}\:\frac{{a}\mathrm{tan}\:{x}}{\:\sqrt{{a}^{\mathrm{2}}…

L-lim-n-1-2-n-3-1-3-2-3-n-3-2-3-n-3-n-3-n-3-

Question Number 144067 by SOMEDAVONG last updated on 21/Jun/21 $$\mathrm{L}=\underset{\mathrm{n}\rightarrow+\propto} {\mathrm{lim}}\left(\frac{\mathrm{1}^{\mathrm{2}} }{\mathrm{n}^{\mathrm{3}} +\mathrm{1}^{\mathrm{3}} }\:+\:\frac{\mathrm{2}^{\mathrm{3}} }{\mathrm{n}^{\mathrm{3}} +\mathrm{2}^{\mathrm{3}} }\:+\:…+\:\frac{\mathrm{n}^{\mathrm{3}} }{\mathrm{n}^{\mathrm{3}} +\mathrm{n}^{\mathrm{3}} }\right)=? \\ $$ Answered by Dwaipayan…

Question-144061

Question Number 144061 by Khalmohmmad last updated on 21/Jun/21 Answered by TheHoneyCat last updated on 21/Jun/21 $$\mathrm{I}\:\mathrm{am}\:\mathrm{quite}\:\mathrm{sorry}\:\mathrm{to}\:\mathrm{tell}\:\mathrm{you}\:\mathrm{this},\:\mathrm{but}\:\mathrm{your}\:\mathrm{question}\:\mathrm{is}\:\mathrm{either} \\ $$$$\mathrm{incomplete}\:\left(\mathrm{some}\:\mathrm{hypothesis}\:\mathrm{is}\:\mathrm{missing}\right) \\ $$$$\mathrm{or}\:\mathrm{unsolvable}. \\ $$$$ \\ $$$$\mathrm{Consider}:…

lim-x-0-0-x-2-4-t-3-dt-x-2-

Question Number 78526 by TawaTawa last updated on 18/Jan/20 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\:\left[\frac{\int_{\:\:\mathrm{0}} ^{\:\:\boldsymbol{\mathrm{x}}^{\mathrm{2}} } \:\sqrt{\mathrm{4}\:+\:\boldsymbol{\mathrm{t}}^{\mathrm{3}} }\:\:\boldsymbol{\mathrm{dt}}}{\boldsymbol{\mathrm{x}}^{\mathrm{2}} }\right] \\ $$ Commented by mr W last updated on…

p-x-x-1-2-Q-x-3x-8-p-x-x-2-Q-x-R-R-

Question Number 144060 by Khalmohmmad last updated on 21/Jun/21 $${p}\left({x}\right)=\left({x}−\mathrm{1}\right)^{\mathrm{2}} {Q}\left({x}\right)+\mathrm{3}{x}+\mathrm{8} \\ $$$${p}\left({x}\right)=\left({x}−\mathrm{2}\right){Q}\left({x}\right)+{R} \\ $$$${R}=? \\ $$ Commented by Rasheed.Sindhi last updated on 21/Jun/21 $${Q}\left({x}\right)\:{is}\:{same}\:{in}\:{both}\:{cases}!!!?…