Question Number 134601 by abdullahquwatan last updated on 05/Mar/21 $$\int\mathrm{3}\left(\sqrt{\mathrm{x}\:+\:\frac{\mathrm{4}}{\:\sqrt{\mathrm{x}}}}\right)\:\mathrm{dx} \\ $$ Answered by bobhans last updated on 06/Mar/21 $$\sqrt{\frac{\mathrm{x}\sqrt{\mathrm{x}}+\mathrm{4}}{\:\sqrt{\mathrm{x}}}}\:=\:\frac{\sqrt{\mathrm{x}\sqrt{\mathrm{x}}+\mathrm{4}}}{\:\sqrt[{\mathrm{4}}]{\mathrm{x}}}\: \\ $$$$\mathrm{let}\:\mathrm{x}\:=\:\mathrm{t}^{\mathrm{4}} \:\Rightarrow\mathrm{dx}\:=\:\mathrm{4t}^{\mathrm{3}} \:\mathrm{dt} \\…
Question Number 134591 by bobhans last updated on 05/Mar/21 $$\mathrm{Precalculus} \\ $$What is the volume of the solid obtained by rotating the region bounded by…
Question Number 134587 by bobhans last updated on 05/Mar/21 $$\mathrm{Precalculus}\: \\ $$How do I find the volume of a solid obtained by rotating the region…
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Question Number 134580 by metamorfose last updated on 05/Mar/21 $$\int\sqrt{{tan}\left({x}\right)}{dx}=…? \\ $$ Answered by Olaf last updated on 05/Mar/21 $$\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}}}\mathrm{arccos}\left(\mathrm{cos}{x}−\mathrm{sin}{x}\right) \\ $$$$+\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}}}\mathrm{ln}\left(\mathrm{cos}{x}+\mathrm{sin}{x}+\sqrt{\mathrm{sin2}{x}}\right)+\mathrm{C} \\ $$ Answered…
Question Number 69044 by mathmax by abdo last updated on 18/Sep/19 $$\left.\mathrm{1}\right)\:{let}\:{f}\left({a}\right)\:=\int\sqrt{{a}+{tanx}}{dx}\:\:{with}\:{a}>\mathrm{0} \\ $$$${find}\:{a}\:{explicit}\:{form}\:{for}\:{f}\left({x}\right) \\ $$$$\left.\mathrm{2}\right)\:{find}\:{also}\:{g}\left({a}\right)\:=\int\:\:\frac{{dx}}{\:\sqrt{{a}+{tanx}}} \\ $$$$\left.\mathrm{3}\right){calculate}\:\int\sqrt{\mathrm{2}+{tanx}}{dx}\:{and}\:\int\:\:\frac{{dx}}{\:\sqrt{\mathrm{2}+{tanx}}} \\ $$ Answered by mind is power…
Question Number 134570 by liberty last updated on 05/Mar/21 $$\int_{\mathrm{0}} ^{\:\mathrm{1}} \int_{\mathrm{y}} ^{\:\mathrm{y}^{\mathrm{1}/\mathrm{3}} } \sqrt{\mathrm{x}^{\mathrm{4}} +\mathrm{1}}\:\mathrm{dx}\:\mathrm{dy}\:=?\:\: \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 69027 by rajesh4661kumar@gmail.com last updated on 18/Sep/19 Commented by mathmax by abdo last updated on 18/Sep/19 $${I}\:=\int_{\mathrm{0}} ^{\mathrm{2}\pi} {sinxdx}\:−\int_{\mathrm{0}} ^{\mathrm{2}\pi} \mid{sinx}\mid{dx}\:\:{but} \\ $$$$\int_{\mathrm{0}}…
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Question Number 134547 by EDWIN88 last updated on 05/Mar/21 $$\mathscr{R}\:=\:\int_{\mathrm{0}} ^{\:\mathrm{3}{a}} {x}\:\sqrt{\frac{\mathrm{3}{a}−{x}}{{x}+{a}}}\:{dx}\: \\ $$ Answered by liberty last updated on 05/Mar/21 $$\mathrm{by}\:\mathrm{change}\:\mathrm{of}\:\mathrm{variable}\: \\ $$$$\:\mathrm{let}\:\sqrt{\frac{\mathrm{3}{a}−{x}}{{x}+{a}}}\:={h}\:\Rightarrow\:{x}=\frac{−{ah}^{\mathrm{2}} +\mathrm{3}{a}}{{h}^{\mathrm{2}}…