Question Number 116237 by bobhans last updated on 02/Oct/20 $$\int\:\sqrt{\mathrm{5cos}\:^{\mathrm{2}} \mathrm{x}+\mathrm{4}}\:\mathrm{dx}\:? \\ $$ Answered by Lordose last updated on 02/Oct/20 $$\int\sqrt{\mathrm{5}\left(\mathrm{1}−\mathrm{sin}^{\mathrm{2}} \mathrm{x}\right)+\mathrm{4}}\:\mathrm{dx} \\ $$$$\int\sqrt{\mathrm{9}−\mathrm{5sin}^{\mathrm{2}} \mathrm{x}}\:\mathrm{dx}…
Question Number 116231 by bemath last updated on 02/Oct/20 $$\int\:\mathrm{sec}\:\mathrm{x}\:\mathrm{tan}\:\mathrm{x}\:\sqrt{\mathrm{tan}\:^{\mathrm{2}} \mathrm{x}−\mathrm{3}}\:\mathrm{dx}\:? \\ $$ Answered by john santu last updated on 02/Oct/20 $$\int\:\mathrm{sec}\:{x}\:\mathrm{tan}\:{x}\:\sqrt{\mathrm{sec}\:^{\mathrm{2}} \:{x}−\mathrm{4}}\:{dx} \\ $$$$\left[\:{let}\:{u}\:=\:\mathrm{sec}\:{x}\:\rightarrow{du}\:=\:\mathrm{sec}\:{x}\:\mathrm{tan}\:{x}\:{dx}\:\right]…
Question Number 50689 by Tawa1 last updated on 18/Dec/18 $$\mathrm{If}\:\:\mathrm{c}\:\mathrm{is}\:\mathrm{the}\:\mathrm{line}\:\mathrm{segement}\:\mathrm{from}\:\:\left(\mathrm{0},\:\mathrm{0},\:\mathrm{0}\right)\:\mathrm{to}\:\left(\mathrm{1},\:\mathrm{2},\:\mathrm{3}\right) \\ $$$$\mathrm{find}\:\:\:\int\:\mathrm{x}\:\mathrm{e}^{\mathrm{yz}} \:\:\mathrm{ds} \\ $$ Answered by mr W last updated on 19/Dec/18 $$\frac{{x}−\mathrm{1}}{\mathrm{1}}=\frac{{y}−\mathrm{2}}{\mathrm{2}}=\frac{{z}−\mathrm{3}}{\mathrm{3}} \\…
Question Number 50683 by maxmathsup by imad last updated on 18/Dec/18 $${find}\:{f}\left(\lambda\right)\:=\int_{\mathrm{0}} ^{\infty} \:\:\:\frac{{arctan}\left(\lambda{x}\right)}{\mathrm{1}+\lambda{x}^{\mathrm{2}} }{dx}\:\:{with}\:\lambda>\mathrm{0} \\ $$ Commented by Abdo msup. last updated on 21/Dec/18…
Question Number 116216 by bemath last updated on 02/Oct/20 $$\underset{\mathrm{0}} {\overset{\pi} {\int}}\:\frac{\mathrm{ln}\:\left(\mathrm{1}+\frac{\mathrm{1}}{\mathrm{2}}\mathrm{cos}\:\mathrm{x}\right)}{\mathrm{cos}\:\mathrm{x}}\:\mathrm{dx}\:? \\ $$ Answered by Bird last updated on 02/Oct/20 $${let}\:{f}\left({a}\right)\:=\int_{\mathrm{0}} ^{\pi} \:\frac{{ln}\left(\mathrm{1}+{acosx}\right)}{{cosx}}{dx}\:{with}−\mathrm{1}<{a}<\mathrm{1} \\…
Question Number 116196 by mnjuly1970 last updated on 01/Oct/20 $$\:\:\:\:\:{please}\:{solve}\:: \\ $$$$\:\:\: \\ $$$$\:\:\:\int_{\mathrm{0}} ^{\:\frac{\pi}{\mathrm{4}}} {tan}^{\mathrm{9}} \left({x}\right){dx}\:=??? \\ $$ Answered by mindispower last updated on…
Question Number 50659 by rahul 19 last updated on 18/Dec/18 $$\int_{\mathrm{0}\:} ^{\:\infty} \:\frac{{dx}}{\mathrm{4}−{x}^{\mathrm{2}} }\:=\:? \\ $$ Commented by maxmathsup by imad last updated on 18/Dec/18…
Question Number 50633 by Necxx last updated on 18/Dec/18 $${please}\:{help}\:{integrate}\:\frac{{x}+\mathrm{sin}\:{x}}{\mathrm{1}+\mathrm{cos}\:{x}}{dx} \\ $$ Commented by maxmathsup by imad last updated on 18/Dec/18 $${let}\:{I}\:=\:\int\:\:\frac{{x}+{sinx}}{\mathrm{1}+{cosx}}{dx}\:\:{we}\:{have}\:{I}\:=\int\:\:\frac{{x}}{\mathrm{1}+{cosx}}{dx}\:+\int\:\:\frac{{sinx}}{\mathrm{1}+{cosx}}{dx}\:{but} \\ $$$$\int\:\:\frac{{sinx}}{\mathrm{1}+{cosx}}{dx}\:=\int\:\frac{−{d}\left({cosx}\right)}{\mathrm{1}+{cosx}}\:{dx}=−{ln}\mid\mathrm{1}+{cosx}\mid\:+{c}_{\mathrm{1}} \\…
Question Number 116162 by mnjuly1970 last updated on 01/Oct/20 $$\:\: \\ $$$$ \\ $$$$\:\:\underset{{n}=\mathrm{0}} {\overset{\infty} {\sum}}\frac{\mathrm{2}{n}+\mathrm{1}}{\mathrm{16}^{{n}} \left({n}^{\mathrm{2}} +\mathrm{3}{n}+\mathrm{2}\right)}\:\begin{pmatrix}{\mathrm{2}{n}}\\{{n}}\end{pmatrix}^{\mathrm{2}} \:=\frac{\mathrm{8}}{\mathrm{3}\pi}\: \\ $$$$ \\ $$$${m}.{n}.{july}\:\mathrm{1970}. \\ $$$$\:…
Question Number 116123 by Henri Boucatchou last updated on 01/Oct/20 $$ \\ $$$$\mathrm{Study}\:\mathrm{according}\:\mathrm{to}\:\mathrm{the}\:\mathrm{values}\:\mathrm{of}\: \\ $$$$\mathrm{the}\:\mathrm{real}\:\alpha\:\mathrm{the}\:\mathrm{convergence}\:\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{integral}\:\:\int_{\alpha} ^{+\infty} \frac{{ln}\mid{x}\mid}{\:\sqrt[{\mathrm{3}}]{{x}\left({x}+\mathrm{1}\right)}}{dx} \\ $$ Terms of Service Privacy…