Question Number 91630 by Ar Brandon last updated on 02/May/20 $$\mathrm{show}\:\mathrm{that}\: \\ $$$$\int_{−\frac{\pi}{\mathrm{4}}} ^{\frac{\pi}{\mathrm{4}}} \frac{\mathrm{sin2x}}{\left(\mathrm{2}+\mathrm{cos2x}\right)^{\mathrm{2}} }\mathrm{ln}\left(\mathrm{1}+\mathrm{e}^{\mathrm{x}} \right)\mathrm{dx} \\ $$$$=\frac{\pi}{\mathrm{16}}−\frac{\pi\sqrt{\mathrm{3}}}{\mathrm{36}} \\ $$ Commented by Ar Brandon…
Question Number 26090 by fahim last updated on 19/Dec/17 $$\int\frac{{a}\mathrm{sin}\:^{\mathrm{3}} \theta+{b}\mathrm{cos}\:^{\mathrm{3}} \theta}{\mathrm{sin}^{\mathrm{2}} \:\theta.\mathrm{cos}^{\mathrm{2}} \:\theta}{d}\theta \\ $$ Answered by Joel578 last updated on 19/Dec/17 $${I}\:=\:\int\:\frac{{a}\mathrm{sin}^{\mathrm{3}} \:\theta}{\mathrm{sin}^{\mathrm{2}}…
Question Number 91619 by abdomathmax last updated on 02/May/20 $${calculate}\:\int_{\mathrm{2}} ^{+\infty} \:\frac{\left(−\mathrm{1}\right)^{\left[\mathrm{2}{x}\right]} }{{x}\left[{x}\right]−\mathrm{1}}{dx} \\ $$ Commented by mathmax by abdo last updated on 02/May/20 $$=\sum_{{n}=\mathrm{2}}…
Question Number 91621 by abdomathmax last updated on 02/May/20 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:{sin}\left({x}^{\mathrm{6}} \right){dx} \\ $$ Commented by mathmax by abdo last updated on 02/May/20 $$\int_{\mathrm{0}}…
Question Number 91620 by abdomathmax last updated on 02/May/20 $${let}\:{f}\left({x}\right)\:=\mathrm{2}\:{x}−\sqrt{{x}−\mathrm{1}} \\ $$$${find}\:\int\:\:\frac{{f}\left({x}\right)}{{f}^{−\mathrm{1}} \left({x}\right)}{dx}\:\:{and}\:\:\int\:{ln}\left(\frac{{f}\left({x}\right)}{{f}^{−\mathrm{1}} \left({x}\right)}\right){dx} \\ $$ Commented by mathmax by abdo last updated on 02/May/20…
Question Number 91615 by M±th+et+s last updated on 01/May/20 $${hi}\:{every}\:{one}\:{is}\:{it}\:{right}\:{if}\:{we}\:{use}\:{tylor} \\ $$$${in}\:{this}\:{integration}\:{and}\:{if}\:{there}\:{were} \\ $$$${another}\:{way}\:{that}\:{will}\:{be}\:{very}\:{cool} \\ $$$$\int{sin}\left({x}^{\mathrm{4}} \right){dx}\: \\ $$$$ \\ $$$$ \\ $$ Commented by…
Question Number 91611 by ar247 last updated on 01/May/20 $$\:{find}\:{the}\:{volume}\:{of}\:{the}\:{region}\: \\ $$$${between}\:{curves}\:\left({xy}=\mathrm{4}\:{and}\:{x}+{y}=\mathrm{5}\right) \\ $$$${revolvex}\:{around}\:{the}\:{X}\:{axis} \\ $$ Commented by john santu last updated on 02/May/20 $${vol}\:=\:\pi\:\int\underset{\mathrm{1}}…
Question Number 91603 by mathmax by abdo last updated on 01/May/20 $${calculate}\:\int_{\mathrm{0}} ^{\infty} {xe}^{−{x}^{\mathrm{2}} −\left[{x}\right]} \:{dx} \\ $$ Commented by mathmax by abdo last updated…
Question Number 157138 by amin96 last updated on 20/Oct/21 $$\int_{\mathrm{0}} ^{\mathrm{1}} \boldsymbol{\mathrm{x}}^{\boldsymbol{\mathrm{x}}} \left(\mathrm{1}−\boldsymbol{\mathrm{x}}\right)^{\mathrm{1}−\boldsymbol{\mathrm{x}}} \boldsymbol{\mathrm{sin}}\left(\pi\boldsymbol{\mathrm{x}}\right)\boldsymbol{\mathrm{dx}}=? \\ $$ Commented by mindispower last updated on 20/Oct/21 $${hello}\:{source}\:{are}\:{you}\:{sir}\:{close}\:{form}\:{exist}\:? \\…
Question Number 26059 by abdo imad last updated on 18/Dec/17 $${let}\:{s}\:{give}\:{n}\:{from}\:{N}\:\:{find}\:{the}\:{value}\:{of} \\ $$$$\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\left(\mathrm{1}\:+{x}^{\mathrm{2}} \:\right)^{{n}/\mathrm{2}} \:{sin}\left({n}\:{arctan}\left({x}\right)\right){dx} \\ $$ Terms of Service Privacy Policy Contact:…