Question Number 134420 by liberty last updated on 03/Mar/21 $$\underset{−\pi/\mathrm{2}} {\int}^{\:\:\:\:\:\:\pi/\mathrm{2}} \frac{\mathrm{1}}{\mathrm{2019}^{{x}} +\mathrm{1}}.\:\frac{\mathrm{sin}\:^{\mathrm{2020}} {x}}{\mathrm{sin}\:^{\mathrm{2020}} {x}+\mathrm{cos}\:^{\mathrm{2020}} {x}}\:{dx}\:? \\ $$ Answered by Dwaipayan Shikari last updated on…
Question Number 68885 by aliesam last updated on 16/Sep/19 $${if}\: \\ $$$${f}\left({x}\right)=\frac{\mid{x}\mid}{{x}} \\ $$$${g}\left({x}\right)={x}^{\mathrm{2}} −\mathrm{1} \\ $$$$ \\ $$$${find}\: \\ $$$$ \\ $$$$\underset{{x}\rightarrow\mathrm{1}} {{lim}}\:\:{f}\left({g}\left({x}\right)\right) \\…
Question Number 3348 by RasheedSindhi last updated on 11/Dec/15 $${Prove}\:{that}\:{the}\:{regular}\:{pentagon} \\ $$$${is}\:{possible}\:{with}\:{ruler}\:{and}\:{compass}. \\ $$ Commented by Rasheed Soomro last updated on 11/Dec/15 $$\mathcal{H}{ow}\:{can}\:{we}\:{prove}\:{that}\:{angle}\:\mathrm{108}°\:{is} \\ $$$${possible}?…
Question Number 134417 by faysal last updated on 03/Mar/21 Answered by som(math1967) last updated on 03/Mar/21 $$\frac{\mathrm{2}^{{n}−\mathrm{1}} \mathrm{2}{sin}\theta{cos}\theta.{cos}\mathrm{2}\theta…{cos}\mathrm{2}^{{n}−\mathrm{1}} \theta}{{sin}\theta} \\ $$$$\frac{\mathrm{2}^{{n}−\mathrm{2}} .\mathrm{2}{sin}\mathrm{2}\theta{cos}\mathrm{2}\theta.{cos}\mathrm{2}^{\mathrm{2}} \theta…..}{{sin}\theta} \\ $$$$\frac{\mathrm{2}^{{n}−\mathrm{3}}…
Question Number 134419 by mohammad17 last updated on 03/Mar/21 $${why}\:{the}\:{function}\:{cosz}\:{and}\:{sinz}\:{it}\:{is}\: \\ $$$${not}\:{bounded}\:{in}\:{complex}\:{number}\:? \\ $$ Answered by Olaf last updated on 03/Mar/21 $$\mathrm{cos}{z}\:=\:\mathrm{cos}\left({x}+{iy}\right) \\ $$$$\mathrm{cos}{z}\:=\:\mathrm{cos}{x}\mathrm{cos}\left({iy}\right)−\mathrm{sin}{x}\mathrm{sin}\left({iy}\right) \\…
Question Number 134418 by mnjuly1970 last updated on 03/Mar/21 $$ \\ $$$$\:\:\:\:\:\:\:\:\boldsymbol{\phi}=\int_{\mathrm{0}} ^{\:\infty} \left({arctan}\left(\frac{\mathrm{1}}{{x}}\right)\right)^{\mathrm{2}} =??? \\ $$ Answered by Ñï= last updated on 03/Mar/21 $$\int\left(\mathrm{tan}^{−\mathrm{1}}…
Question Number 68878 by mathmax by abdo last updated on 16/Sep/19 $${find}\:\int\frac{\mathrm{2}\sqrt{{x}}+\mathrm{1}}{{x}^{\mathrm{2}} +\mathrm{1}−\sqrt{{x}^{\mathrm{2}} +\mathrm{1}}}{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 68879 by mathmax by abdo last updated on 16/Sep/19 $${let}\:{I}\:=\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\frac{{x}}{{ln}\left(\mathrm{1}+{x}\right)}{dx}\:\:{determine}\:{a}\:{approximate}\:{value}\:{of}\:{I} \\ $$ Commented by Abdo msup. last updated on 21/Sep/19 $${there}\:{a}\:{error}\:{of}\:{calculus}\:{in}\:{the}\:{answer}\:{i}\:{will}\:{hid}…
Question Number 68876 by mathmax by abdo last updated on 16/Sep/19 $${calculate}\:\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{\left(−\mathrm{1}\right)^{{x}} }{\left(\mathrm{3}+{x}^{\mathrm{2}} \right)^{\mathrm{2}} }{dx} \\ $$ Commented by mathmax by abdo last…
Question Number 68877 by mathmax by abdo last updated on 16/Sep/19 $${calculate}\:\int_{−\infty} ^{+\infty} \:\:\:\frac{{xdx}}{\left({x}^{\mathrm{2}} −{x}+{i}\right)^{\mathrm{2}} }\:\:\:\:\:{with}\:{i}^{\mathrm{2}} =−\mathrm{1} \\ $$ Commented by mathmax by abdo last…