Question Number 131496 by benjo_mathlover last updated on 05/Feb/21 $$\mathrm{Given}\:\mathrm{f}\left(\mathrm{x}\right)=\mathrm{f}\left(\mathrm{x}+\frac{\pi}{\mathrm{6}}\right)\:\forall\mathrm{x}\in\mathbb{R} \\ $$$$\mathrm{if}\:\int_{\mathrm{0}} ^{\:\frac{\pi}{\mathrm{6}}} \mathrm{f}\left(\mathrm{x}\right)\mathrm{dx}=\:\mathrm{T}\:\mathrm{find}\:\mathrm{the}\:\mathrm{value} \\ $$$$\mathrm{of}\:\int_{\pi} ^{\:\frac{\mathrm{4}\pi}{\mathrm{3}}} \mathrm{f}\left(\mathrm{x}+\pi\right)\mathrm{dx}. \\ $$$$\mathrm{nice}\:\mathrm{integral} \\ $$ Answered by talminator2856791…
Question Number 65950 by ajfour last updated on 06/Aug/19 $$\int_{\mathrm{0}} ^{\:\pi/\mathrm{2}} \mathrm{tan}\:^{\mathrm{3}} {xdx}\:=\:? \\ $$ Answered by Tupac Shakur last updated on 06/Aug/19 $$=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}}…
Question Number 65945 by Chi Mes Try last updated on 06/Aug/19 $${pls}\:{i}\:{need}\:{solution}\:{plssss}…{asap} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{n} \\ $$$$\:\:\:{lim}\:\:\:\:\:\:\:\:\:\:\:\in\:\:\:\:\left(\frac{{r}^{\mathrm{3}} }{{r}^{\mathrm{4}} +{n}^{\mathrm{4}} }\right) \\ $$$${n}\rightarrow\infty\:\:\:\:\:\:{r}=\mathrm{1} \\ $$$$ \\ $$$${please}\:{try}\:{and}\:{understand}\:{the}\:{way}\:{i}\:{typed}\:{it}…
Question Number 404 by 123456 last updated on 30/Dec/14 $$\mathrm{proof}\:\mathrm{that}\:\mathrm{for}\:\mathrm{a}\:\mathrm{function}\:{f}\:\mathrm{continuos}\:\mathrm{on}\:\left[\mathrm{0},\infty\right)\:\mathrm{and}\:\mathrm{integrable} \\ $$$$\mathrm{if}\:\underset{\mathrm{0}} {\overset{\infty} {\int}}\mid{f}\left({x}\right)\mid{dx}\:\mathrm{converge}\:\mathrm{then}\:\underset{\mathrm{0}} {\overset{\infty} {\int}}{f}\left({x}\right){dx}\:\mathrm{converge} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 65926 by mathmax by abdo last updated on 06/Aug/19 $${find}\:\int_{\mathrm{0}} ^{\infty} \:{e}^{−{x}} {ln}\left(\mathrm{1}+{x}^{\mathrm{2}} \right){dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 65925 by mathmax by abdo last updated on 05/Aug/19 $${calculate}\:\int_{\mathrm{0}} ^{\mathrm{1}} {e}^{−\mathrm{2}{t}} {ln}\left(\mathrm{1}−{t}\right){dt} \\ $$ Commented by mathmax by abdo last updated on…
Question Number 65924 by mathmax by abdo last updated on 05/Aug/19 $${calculate}\:\int_{−\frac{\pi}{\mathrm{6}}} ^{\frac{\pi}{\mathrm{6}}} \:\frac{{x}}{{sinx}}{dx}\: \\ $$ Commented by mathmax by abdo last updated on 07/Aug/19…
Question Number 65923 by mathmax by abdo last updated on 05/Aug/19 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\frac{\mathrm{1}−{cos}\left(\mathrm{2}{x}^{\mathrm{2}} \right)}{{x}^{\mathrm{2}} }{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 65922 by mathmax by abdo last updated on 05/Aug/19 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{sin}\left(\mathrm{3}{x}^{\mathrm{2}} \right)}{{x}^{\mathrm{2}} }{dx}\: \\ $$ Commented by mathmax by abdo last updated…
Question Number 65920 by mathmax by abdo last updated on 05/Aug/19 $${fnd}\:\int\:\frac{{dx}}{{x}+\mathrm{2}−\sqrt{\mathrm{3}+{x}^{\mathrm{2}} }} \\ $$ Commented by mathmax by abdo last updated on 12/Aug/19 $${let}\:{I}\:=\int\:\:\frac{{dx}}{{x}+\mathrm{2}−\sqrt{\mathrm{3}+{x}^{\mathrm{2}}…