Question Number 560 by 123456 last updated on 26/Jan/15 $${u}:\mathbb{R}\rightarrow\mathbb{R} \\ $$$${v}:\mathbb{R}\rightarrow\mathbb{R} \\ $$$$\begin{cases}{{u}\left({x}\right){v}\left({x}\right)={x}^{\mathrm{2}} −{v}\left(−{x}\right)}\\{{u}\left(−{x}\right){v}\left({x}\right)={x}^{\mathrm{3}} +{v}\left(−{x}\right)}\end{cases} \\ $$$${h}\left({x}\right)={u}\left({x}\right){v}\left({x}\right)=? \\ $$ Answered by prakash jain last…
Question Number 131620 by mohammad17 last updated on 06/Feb/21 Answered by Dwaipayan Shikari last updated on 06/Feb/21 $$\underset{{z}\rightarrow\mathrm{2}{e}^{\frac{{i}\pi}{\mathrm{3}}} } {\mathrm{lim}}\frac{{z}^{\mathrm{3}} +\mathrm{8}}{{z}^{\mathrm{4}} +\mathrm{4}{z}^{\mathrm{2}} +\mathrm{16}}=\underset{{z}\rightarrow\mathrm{2}{e}^{\frac{{i}\pi}{\mathrm{3}}} } {\mathrm{lim}}\frac{{z}+\mathrm{2}}{{z}^{\mathrm{2}}…
Question Number 131622 by rydasss last updated on 06/Feb/21 $${for}\:-\pi\:<\:{x}\:<\:-\:\frac{\pi}{\mathrm{2}}\:{find}\:{the}\:{solution}\:{of} \\ $$$${sin}\:{x}\:>\:\:\frac{{sin}\:{x}\:+\:\mathrm{2}}{\mathrm{2}\:{sin}\:{x}\:+\:\mathrm{1}} \\ $$ Answered by mr W last updated on 07/Feb/21 $$−\pi<{x}<−\frac{\pi}{\mathrm{2}}\:\Rightarrow\:−\mathrm{1}<\mathrm{sin}\:{x}<\mathrm{0} \\ $$$${case}\:\mathrm{1}:\:\mathrm{2sin}\:{x}+\mathrm{1}>\mathrm{0},\:{i}.{e}.\:\mathrm{sin}\:{x}>−\frac{\mathrm{1}}{\mathrm{2}}…
Question Number 545 by 123456 last updated on 25/Jan/15 $${if}\:\tau=\underset{\mathrm{0}} {\overset{+\infty} {\int}}{e}^{−\frac{{t}}{\mathrm{2}}} {dt}\underset{−\infty} {\overset{+\infty} {\int}}\frac{{dx}}{\mathrm{1}+{x}^{\mathrm{2}} },\:{then}\:\frac{\tau}{\mathrm{2}}=? \\ $$ Answered by prakash jain last updated on…
Question Number 131619 by help last updated on 06/Feb/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 544 by 123456 last updated on 26/Jan/15 $$\underset{\mathrm{0}} {\overset{\mathrm{2}\pi} {\int}}\mathrm{sin}\:{x}\:\mathrm{sinh}\:{x}\:{dx}=? \\ $$ Answered by prakash jain last updated on 26/Jan/15 $$\int\mathrm{sin}\:{x}\:\mathrm{sinh}\:{xdx} \\ $$$$=\mathrm{sin}\:{x}\:\mathrm{cosh}\:{x}\:−\int\mathrm{cos}\:{x}\:\mathrm{cosh}\:{x}\:{dx}…
Question Number 543 by 123456 last updated on 25/Jan/15 $${if}\:{f}'\left({x}\right)={f}\left({x}\right)+{x},\:{f}\left(\mathrm{0}\right)=\mathrm{0},\:{then} \\ $$$${f}\left(\mathrm{1}\right)=? \\ $$ Answered by prakash jain last updated on 24/Jan/15 $${y}={f}\left({x}\right) \\ $$$${y}'−{y}={x}…
Question Number 131613 by mohammad17 last updated on 06/Feb/21 $$\frac{{z}^{\mathrm{3}} +\mathrm{8}}{{z}^{\mathrm{4}} +\mathrm{4}{z}^{\mathrm{2}} +\mathrm{16}} \\ $$ Answered by Dwaipayan Shikari last updated on 06/Feb/21 $$\frac{{z}^{\mathrm{3}} +\mathrm{8}}{{z}^{\mathrm{4}}…
Question Number 542 by 123456 last updated on 25/Jan/15 $$\int_{\mathrm{0}} ^{\mathrm{1}} \frac{{x}^{\mathrm{2}} }{\:\sqrt{{x}^{\mathrm{6}} +\mathrm{4}}}{dx} \\ $$ Answered by prakash jain last updated on 24/Jan/15 $${x}^{\mathrm{3}}…
Question Number 66066 by Kunal12588 last updated on 08/Aug/19 $${Integrate}\:\int\frac{{dx}}{{ax}^{\mathrm{2}} +{bx}+{c}} \\ $$$${y}\:=\:{ax}^{\mathrm{2}} +{bx}+{c} \\ $$$${y}'=\frac{{dy}}{{dx}}=\mathrm{2}{ax}+{b} \\ $$$${d}\:=\:\sqrt{{b}^{\mathrm{2}} −\mathrm{4}{ac}} \\ $$$${d}'\:=\:\sqrt{−{d}} \\ $$$${Case}\:\mathrm{1}.\:{d}^{\mathrm{2}} \:<\:\mathrm{0} \\…