Question Number 52630 by tanmay.chaudhury50@gmail.com last updated on 10/Jan/19 Commented by Kunal12588 last updated on 10/Jan/19 $${there}\:{also}\:{a}\:{movie}\:{named}\:{The}\:{Man}\:{Who}\:{Knew} \\ $$$${Infinity}\:\:{based}\:{on}\:{Mr}\:{S}.\:{Ramanujan} \\ $$ Commented by tanmay.chaudhury50@gmail.com last…
Question Number 52619 by tanmay.chaudhury50@gmail.com last updated on 10/Jan/19 $$\left.\mathrm{1}\right)\int_{\mathrm{1}} ^{\mathrm{3}} \frac{{dx}}{{x}^{\mathrm{2}} +\left[{x}\right]^{\mathrm{2}} +\mathrm{1}−\mathrm{2}{x}\left[{x}\right]} \\ $$$$\left.\mathrm{2}\right)\int_{−\mathrm{1}} ^{\mathrm{1}} \left[{x}\left[\mathrm{1}+{sin}\pi{x}\right]+\mathrm{1}\right]{dx} \\ $$$$\left.\mathrm{3}\right)\int_{\mathrm{0}} ^{\mathrm{2}} {x}^{\left[{x}^{\mathrm{2}} +\mathrm{1}\right]} {dx} \\…
Question Number 183687 by Mastermind last updated on 28/Dec/22 $$\int\frac{\mathrm{1}}{\mathrm{lnx}}\mathrm{dx} \\ $$$$ \\ $$$$ \\ $$$$\mathrm{Help}\:\mathrm{out} \\ $$ Answered by a.lgnaoui last updated on 28/Dec/22…
Question Number 52609 by subhankar10 last updated on 10/Jan/19 $$ \\ $$$$ \\ $$$$\mathrm{sin}\:^{\mathrm{2}} \mathrm{A}\:+\:\mathrm{sin}\:^{\mathrm{4}} \mathrm{A}=\mathrm{1then}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{tan}\:^{\mathrm{2}} \mathrm{A}−\mathrm{tan}^{\mathrm{4}} \mathrm{A} \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated…
Question Number 183667 by Mastermind last updated on 28/Dec/22 $$\mathrm{If}\:\mathrm{w}\:\mathrm{is}\:\mathrm{one}\:\mathrm{of}\:\mathrm{the}\:\mathrm{complex}\:\mathrm{cube}\: \\ $$$$\mathrm{roots}\:\mathrm{of}\:\mathrm{unity},\:\mathrm{show}\:\mathrm{that} \\ $$$$\left(\mathrm{a}+\mathrm{wb}+\mathrm{w}^{\mathrm{2}} \mathrm{c}\right)\left(\mathrm{a}+\mathrm{w}^{\mathrm{2}} \mathrm{b}+\mathrm{wc}\right)\:\mathrm{is}\:\mathrm{equal} \\ $$$$\mathrm{to}\:\left(\alpha^{\mathrm{2}} +\mathrm{b}^{\mathrm{2}} +\mathrm{c}^{\mathrm{2}} −\mathrm{ab}−\mathrm{bc}−\mathrm{c}\alpha\right). \\ $$$$ \\ $$$$…
Question Number 52592 by tanmay.chaudhury50@gmail.com last updated on 10/Jan/19 $${if}\:{x}+{y}+{z}=\mathrm{1} \\ $$$${x}^{\mathrm{2}} +{y}^{\mathrm{2}} +{z}^{\mathrm{2}} =\mathrm{2} \\ $$$${x}^{\mathrm{3}} +{y}^{\mathrm{3}} +{z}^{\mathrm{3}} =\mathrm{3} \\ $$$${find}\:{x}^{\mathrm{4}} +{y}^{\mathrm{4}} +{z}^{\mathrm{4}} \\…
Question Number 52590 by tanmay.chaudhury50@gmail.com last updated on 10/Jan/19 Commented by tanmay.chaudhury50@gmail.com last updated on 10/Jan/19 $${question}\:{from}\:{SL}\:{Loney}\:… \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 183600 by Mastermind last updated on 27/Dec/22 $$\mathrm{y}'^{''} \:+\:\mathrm{8y}'^{''} \:+\mathrm{12y}'\:=\:\mathrm{0} \\ $$$$ \\ $$$$\mathrm{Solve}\:\mathrm{with}\:\mathrm{better}\:\mathrm{explanation} \\ $$ Commented by mr W last updated on…
Question Number 52516 by tanmay.chaudhury50@gmail.com last updated on 09/Jan/19 $${find}\:{the}\:{value} \\ $$$${tan}\theta+\mathrm{2}{tan}\mathrm{2}\theta+\mathrm{2}^{\mathrm{2}} {tan}\mathrm{2}^{\mathrm{2}} \theta+\mathrm{2}^{\mathrm{3}} {tan}\mathrm{2}^{\mathrm{3}} \theta+..+\mathrm{2}^{{n}−\mathrm{1}} {tan}\mathrm{2}^{{n}−\mathrm{1}} \theta \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated…
Question Number 52515 by tanmay.chaudhury50@gmail.com last updated on 09/Jan/19 $$\left.\mathrm{1}\right)\int_{\mathrm{0}} ^{\infty} \frac{{tan}^{−\mathrm{1}} \left({ax}\right)−{tan}^{−\mathrm{1}} \left({bx}\right)}{{x}}{dx} \\ $$$$\left.\mathrm{2}\right)\int_{\mathrm{0}} ^{\infty} \frac{{e}^{−{x}} {sinx}}{{x}}{dx} \\ $$ Commented by tanmay.chaudhury50@gmail.com last…