Question Number 95371 by Fikret last updated on 24/May/20 $$\int\frac{{x}^{\mathrm{2}/\mathrm{3}} }{\:\sqrt{\mathrm{1}+{x}^{\mathrm{2}/\mathrm{3}} }}{dx}=? \\ $$ Commented by bobhans last updated on 25/May/20 $$\int\:\frac{\sqrt[{\mathrm{3}\:\:}]{\mathrm{x}^{\mathrm{2}} }}{\:\sqrt{\mathrm{1}+\sqrt[{\mathrm{3}\:\:}]{\mathrm{x}^{\mathrm{2}} }}}\:\mathrm{dx}\:.\:\mathrm{let}\:\sqrt{\mathrm{1}+\sqrt[{\mathrm{3}\:\:}]{\mathrm{x}^{\mathrm{2}} }}\:=\:\mathrm{t}…
Question Number 160902 by blackmamba last updated on 08/Dec/21 $$\:\:\int\:\frac{{dx}}{\:\sqrt{\mathrm{sin}\:^{\mathrm{3}} {x}}\:\sqrt{\mathrm{cos}\:^{\mathrm{5}} {x}}}\:=? \\ $$ Answered by chhaythean last updated on 09/Dec/21 $$=\int\frac{\mathrm{dx}}{\:\sqrt{\frac{\mathrm{sin}^{\mathrm{3}} \mathrm{x}}{\mathrm{cos}^{\mathrm{3}} \mathrm{x}}×\mathrm{cos}^{\mathrm{8}} \mathrm{x}}}…
Question Number 160807 by ArielVyny last updated on 07/Dec/21 $$−\mathrm{1}\leqslant{a}_{\mathrm{0}} \leqslant{b}_{\mathrm{0}} \leqslant{c}_{\mathrm{0}} \leqslant\mathrm{1} \\ $$$$\forall{n}\in\mathbb{N}\: \\ $$$${a}_{{n}+\mathrm{1}} =\int_{−\mathrm{1}} ^{\mathrm{1}} {min}\left({x},{b}_{{n}} ,{c}_{{n}} \right){dx} \\ $$$${b}_{{n}+\mathrm{1}} =\int_{−\mathrm{1}}…
Question Number 160792 by cortano last updated on 06/Dec/21 $$\:\:\:\int\:\frac{\mathrm{sec}\:\mathrm{x}}{\:\sqrt{\mathrm{1}+\mathrm{2sec}\:\mathrm{x}}}\:\sqrt{\frac{\mathrm{cosec}\:\mathrm{x}−\mathrm{cot}\:\mathrm{x}}{\mathrm{cosec}\:\mathrm{x}+\mathrm{cot}\:\mathrm{x}}}\:\mathrm{dx}\:=? \\ $$ Answered by chhaythean last updated on 06/Dec/21 $$=\int\frac{\frac{\mathrm{1}}{\mathrm{cosx}}}{\:\sqrt{\frac{\mathrm{cosx}+\mathrm{2}}{\mathrm{cosx}}}}×\sqrt{\frac{\frac{\mathrm{1}−\mathrm{cosx}}{\mathrm{sinx}}}{\frac{\mathrm{1}+\mathrm{cosx}}{\mathrm{sinx}}}}\mathrm{dx} \\ $$$$=\int\frac{\frac{\mathrm{1}}{\mathrm{cosx}}}{\:\sqrt{\frac{\mathrm{cosx}+\mathrm{2}}{\mathrm{cosx}}}}×\sqrt{\frac{\mathrm{1}−\mathrm{cosx}}{\mathrm{1}+\mathrm{cosx}}}\mathrm{dx} \\ $$$$=\int\frac{\mathrm{sinx}}{\:\sqrt{\mathrm{cos}^{\mathrm{2}} \mathrm{x}+\mathrm{2cosx}}}×\frac{\mathrm{1}}{\mathrm{1}+\mathrm{cosx}}\mathrm{dx}…
Question Number 160767 by cortano last updated on 06/Dec/21 $$\:\:\:\:\int_{\:\mathrm{0}} ^{\:\frac{\pi}{\mathrm{2}}} \:\frac{\mathrm{cos}\:^{\mathrm{2}} \mathrm{x}}{\mathrm{cos}\:^{\mathrm{2}} \mathrm{x}+\mathrm{4sin}\:^{\mathrm{2}} \mathrm{x}}\:\mathrm{dx}\:=?\: \\ $$ Answered by MJS_new last updated on 06/Dec/21 $$\underset{\mathrm{0}}…
Question Number 95227 by bobhans last updated on 24/May/20 $$\underset{−\pi} {\overset{\pi} {\int}}\:\mid\mathrm{sin}\:\mathrm{x}\:+\:\mathrm{cos}\:\mathrm{x}\:\mid\:\mathrm{dx}\:=?\: \\ $$ Answered by john santu last updated on 24/May/20 Commented by john…
Question Number 95221 by mathmax by abdo last updated on 24/May/20 $$\mathrm{calculate}\:\int_{\mathrm{0}} ^{\pi} \mathrm{ln}\left(\mathrm{2}+\mathrm{cos}\theta\right)\mathrm{d}\theta \\ $$ Answered by mathmax by abdo last updated on 24/May/20…
Question Number 95213 by mathmax by abdo last updated on 24/May/20 $$\mathrm{find}\:\int\:\frac{\sqrt{\mathrm{x}\left(\mathrm{x}+\mathrm{1}\right)}}{\:\sqrt{\mathrm{x}+\mathrm{3}}}\mathrm{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 95208 by Ar Brandon last updated on 24/May/20 $$\mathrm{i}\backslash\:\int\frac{\mathrm{sinx}}{\mathrm{x}}\mathrm{dx}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{ii}\backslash\:\int\frac{\mathrm{cosx}}{\mathrm{x}}\mathrm{dx} \\ $$$$\mathrm{iii}\backslash\:\int\frac{\mathrm{1}}{\mathrm{lnx}}\mathrm{dx}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{iv}\backslash\:\int\sqrt{\mathrm{1}−\mathrm{k}^{\mathrm{2}} \mathrm{sin}^{\mathrm{2}} \mathrm{x}}\mathrm{dx} \\ $$$$\mathrm{v}\backslash\:\int\sqrt{\mathrm{sinx}}\mathrm{dx}\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{vi}\backslash\:\int\mathrm{sin}\left(\mathrm{x}^{\mathrm{2}} \right)\mathrm{dx} \\ $$$$\mathrm{vii}\backslash\:\int\mathrm{cos}\left(\mathrm{x}^{\mathrm{2}} \right)\mathrm{dx}\:\:\:\:\:\:\mathrm{viii}\backslash\:\int\mathrm{xtanxdx} \\ $$$$\mathrm{ix}\backslash\:\int\mathrm{e}^{−\mathrm{x}^{\mathrm{2}} } \mathrm{dx}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{x}\backslash\int\mathrm{e}^{\mathrm{x}^{\mathrm{2}}…
Question Number 95209 by Ar Brandon last updated on 24/May/20 $$\int\sqrt{\mathrm{1}+\mathrm{x}^{\mathrm{3}} }\mathrm{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com