Question Number 133540 by bemath last updated on 22/Feb/21 $$\int\:\left(\mathrm{cosec}\:\mathrm{x}\right)^{\mathrm{11456}} \:\left(\mathrm{cot}\:\mathrm{x}\right)^{\mathrm{11456}} \:\mathrm{dx}\:? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 133541 by bemath last updated on 22/Feb/21 $$\underset{\mathrm{0}} {\overset{\mathrm{3}} {\int}}\sqrt{\mathrm{9}−\mathrm{x}^{\mathrm{2}} }\:\mathrm{dx}\:=? \\ $$$$\left(\mathrm{a}\right)\mathrm{13}.\mathrm{5}\:\:\:\:\:\:\left(\mathrm{b}\right)\mathrm{21}\:\:\:\:\:\:\left(\mathrm{c}\right)\mathrm{22}.\mathrm{5} \\ $$$$\left(\mathrm{d}\right)\mathrm{1}.\mathrm{8}\:\:\:\:\:\:\:\:\:\left(\mathrm{e}\right)\:\mathrm{30} \\ $$ Commented by MJS_new last updated on…
Question Number 133537 by mathmax by abdo last updated on 22/Feb/21 $$\mathrm{calculate}\:\int_{\mathrm{1}} ^{\infty} \:\frac{\mathrm{dx}}{\left(\mathrm{x}^{\mathrm{2}} +\mathrm{x}+\mathrm{1}\right)^{\mathrm{9}} } \\ $$ Answered by Ñï= last updated on 23/Feb/21…
Question Number 133538 by mathmax by abdo last updated on 22/Feb/21 $$\mathrm{calculate}\:\int\int_{\left[\mathrm{1},\mathrm{2}\right]^{\mathrm{2}} } \:\:\:\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{3y}^{\mathrm{2}} }\mathrm{e}^{−\left(\mathrm{x}^{\mathrm{2}} \:+\mathrm{3y}^{\mathrm{2}} \right)} \mathrm{dxdy} \\ $$ Terms of Service Privacy…
Question Number 133533 by Raxreedoroid last updated on 22/Feb/21 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{volume}\:\mathrm{of}\:\mathrm{the}\:\mathrm{region}\:\mathrm{that}\:\mathrm{is}\:\mathrm{bounded}\:\mathrm{by}\:\mathrm{the}\:\mathrm{curves} \\ $$$${y}={x}^{\mathrm{3}} ,{y}=\mathrm{8},{x}=\mathrm{0},\:\mathrm{rotated}\:\mathrm{about}\:{x}=\mathrm{9} \\ $$ Answered by bemath last updated on 23/Feb/21 $$\mathrm{V}=\pi\underset{\mathrm{0}} {\overset{\mathrm{8}} {\int}}\left(\mathrm{9}−\sqrt[{\mathrm{3}}]{\mathrm{y}}\:\right)^{\mathrm{2}}…
Question Number 133530 by snipers237 last updated on 22/Feb/21 $$\:{I}=\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\frac{{ln}\left(−{lnx}\right)}{\mathrm{1}+{x}^{\mathrm{2}} }\:{dx}\: \\ $$ Commented by Dwaipayan Shikari last updated on 22/Feb/21 $$\int_{\mathrm{0}} ^{\infty}…
Question Number 2435 by Yozzi last updated on 20/Nov/15 $${Prove}\:{that}\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\Gamma'\left(\mathrm{1}\right)=\int_{\mathrm{0}} ^{\infty} {e}^{−{x}} {lnxdx} \\ $$$${is}\:{a}\:{negative}\:{number}. \\ $$ Commented by prakash jain last updated…
Question Number 2434 by Yozzi last updated on 20/Nov/15 $${Prove}\:{that}\:{for}\:{m}=\mathrm{0},\mathrm{1},\mathrm{2},\mathrm{3},… \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\underset{{x}\rightarrow−{m}} {\mathrm{lim}}\Gamma\left({x}\right)=\infty. \\ $$ Answered by 123456 last updated on 25/Nov/15 $$\Gamma\left({x}+\mathrm{1}\right)={x}\Gamma\left({x}\right) \\ $$$$\mathrm{so}…
Question Number 67963 by mhmd last updated on 02/Sep/19 Commented by mathmax by abdo last updated on 02/Sep/19 $${generally}\:{if}\:{F}\left({x}\right)=\int_{{u}\left({x}\right)} ^{{v}\left({x}\right)} {f}\left({t}\right){dt}\:\Rightarrow{F}^{'} \left({x}\right)={v}^{'} \left({x}\right){f}\left({v}\left({x}\right)\right)−{u}^{'} \left({x}\right){f}\left({u}\left({x}\right)\right) \\…
Question Number 67959 by mhmd last updated on 02/Sep/19 $$\int\sqrt{{e}^{{y}^{\mathrm{2}} } \:\:}\:{dy}\:\:{pleas}\:{sir}\:{can}\:{you}\:{help}\:{me}? \\ $$ Commented by Prithwish sen last updated on 02/Sep/19 $$\mathrm{please}\:\mathrm{check}\:\mathrm{Q67942}\:\mathrm{it}\:\mathrm{has}\:\mathrm{been}\:\mathrm{done} \\ $$…