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Category: Integration

let-F-x-0-x-1-sint-2-cost-dt-1-find-a-explicite-form-of-f-x-2-calculate-0-pi-1-sint-2-cost-dt-

Question Number 57417 by Abdo msup. last updated on 03/Apr/19 $${let}\:{F}\left({x}\right)\:=\int_{\mathrm{0}} ^{{x}} \:\:\frac{\mathrm{1}+{sint}}{\mathrm{2}+{cost}}{dt} \\ $$$$\left.\mathrm{1}\right)\:{find}\:{a}\:{explicite}\:{form}\:{of}\:{f}\left({x}\right) \\ $$$$\left.\mathrm{2}\right)\:{calculate}\:\int_{\mathrm{0}} ^{\pi} \:\:\frac{\mathrm{1}+{sint}}{\mathrm{2}+{cost}}{dt} \\ $$ Commented by Abdo msup.…

Question-122936

Question Number 122936 by CanovasCamiseros last updated on 21/Nov/20 Commented by Dwaipayan Shikari last updated on 21/Nov/20 $$\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \frac{{dx}}{{b}^{\mathrm{2}} {tan}^{\mathrm{2}} {x}+\mathrm{1}}\:\:\:\:\:\:\:\:\:\:\:\:{btanx}={t}\:\:\Rightarrow{bsec}^{\mathrm{2}} {x}=\frac{{dt}}{{dx}} \\ $$$${b}\int_{\mathrm{0}}…

Question-122927

Question Number 122927 by bemath last updated on 21/Nov/20 Commented by liberty last updated on 21/Nov/20 $$\mu\left({x}\right)=\int\:\sqrt{\frac{\mathrm{1}−\sqrt{{x}}}{\mathrm{1}+\sqrt{{x}}}}\:{dx}\: \\ $$$$\:\left[\:{let}\:\sqrt{{x}}\:=\:\mathrm{sin}\:{z}\:\Rightarrow\:{dx}\:=\:\mathrm{sin}\:\mathrm{2}{z}\:{dz}\:\right] \\ $$$$\mu\left({x}\right)=\int\:\sqrt{\frac{\mathrm{1}−\mathrm{sin}\:{z}}{\mathrm{1}+\mathrm{sin}\:{z}}}\:\left(\mathrm{sin}\:\mathrm{2}{z}\:{dz}\:\right)\: \\ $$$$\mu\left({x}\right)=\int\:\frac{\sqrt{\left(\mathrm{1}−\mathrm{sin}\:{z}\right)^{\mathrm{2}} }}{\mathrm{cos}\:{z}}\:\left(\mathrm{2sin}\:{z}\:\mathrm{cos}\:{z}\:\right)\:{dz} \\…

Given-f-x-f-x-2016-x-R-If-0-3-f-x-30-then-3-5-f-x-2016-

Question Number 57388 by Joel578 last updated on 03/Apr/19 $$\mathrm{Given}\:{f}\left({x}\right)\:=\:{f}\left({x}\:+\:\mathrm{2016}\right),\:\:\forall{x}\:\in\:\mathbb{R} \\ $$$$\mathrm{If}\:\underset{\mathrm{0}} {\overset{\mathrm{3}} {\int}}\:{f}\left({x}\right)\:=\:\mathrm{30},\:\mathrm{then}\:\underset{\mathrm{3}} {\overset{\mathrm{5}} {\int}}\:{f}\left({x}\:+\:\mathrm{2016}\right)\:=\:… \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com