Question Number 89736 by cindiaulia last updated on 19/Apr/20 Commented by jagoll last updated on 19/Apr/20 $$\mathrm{vol}\:=\:\pi\:\left[\:\underset{\mathrm{0}} {\overset{\mathrm{1}} {\int}}\:\left(\mathrm{x}^{\mathrm{2}} \right)^{\mathrm{2}} \:\mathrm{dx}\:+\:\underset{\mathrm{1}} {\overset{\mathrm{4}} {\int}}\:\left(\sqrt{\mathrm{x}}\right)^{\mathrm{2}} \:\mathrm{dx}\:\right] \\…
Question Number 89741 by cindiaulia last updated on 19/Apr/20 Commented by jagoll last updated on 19/Apr/20 $$\mathrm{area}\:=\:\frac{\mathrm{1}}{\mathrm{2}}\:\mid\begin{vmatrix}{\mathrm{0}\:\:\:\:\:\mathrm{0}}\\{\mathrm{1}\:\:\:\:\:\mathrm{1}}\end{vmatrix}+\:\begin{vmatrix}{\mathrm{1}\:\:\:\:\:\:\mathrm{1}}\\{\frac{\mathrm{2}}{\mathrm{5}}\:\:\frac{\mathrm{8}}{\mathrm{5}}}\end{vmatrix}+\:\begin{vmatrix}{\frac{\mathrm{2}}{\mathrm{5}}\:\:\:\:\frac{\mathrm{8}}{\mathrm{5}}}\\{\mathrm{0}\:\:\:\:\:\:\:\mathrm{0}}\end{vmatrix}\mid \\ $$$$=\:\frac{\mathrm{1}}{\mathrm{2}}\:\mid\:\mathrm{0}+\frac{\mathrm{6}}{\mathrm{5}}+\mathrm{0}\:\mid\:=\:\frac{\mathrm{3}}{\mathrm{5}} \\ $$ Terms of Service Privacy…
Question Number 89735 by cindiaulia last updated on 19/Apr/20 Commented by jagoll last updated on 19/Apr/20 $$\mathrm{red}\:\mathrm{parabola}\:\mathrm{y}\:=\:\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{2x}\: \\ $$$$\mathrm{blue}\:\mathrm{parabola}\:\mathrm{y}\:=\:−\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{4} \\ $$$$\mathrm{shaded}\:\mathrm{area}\::\:\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{2x}\:=\:−\mathrm{x}^{\mathrm{2}} +\mathrm{4}…
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Question Number 89726 by M±th+et£s last updated on 18/Apr/20 $$\int_{\mathrm{0}} ^{\mathrm{1}} \mathrm{6}\sqrt{\frac{{x}}{{x}^{\mathrm{2}} +\mathrm{1}}}\:{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 155252 by mnjuly1970 last updated on 27/Sep/21 $$ \\ $$$$\:\:\:\int_{\mathrm{0}} ^{\:\frac{\pi}{\mathrm{2}}} {x}.{sin}^{\:\mathrm{2}} \left({x}\right).{ln}\left({sin}\left({x}\right)\right){dx} \\ $$ Answered by phanphuoc last updated on 28/Sep/21 $${lnsinx}=−{ln}\mathrm{2}−\sum_{{k}=\mathrm{1}}…
Question Number 89719 by abdomathmax last updated on 18/Apr/20 $${find}\:\int_{\mathrm{1}} ^{+\infty} \:\frac{{arctan}\left({ln}\left({x}\right)\right)}{\mathrm{4}+{x}^{\mathrm{2}} }{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 89714 by abdomathmax last updated on 18/Apr/20 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\:\frac{{dx}}{\left(\mathrm{1}+\sqrt{\mathrm{2}+{x}^{\mathrm{2}} }\right)^{\mathrm{2}} } \\ $$ Commented by mathmax by abdo last updated on 19/Apr/20…
Question Number 155217 by talminator2856791 last updated on 27/Sep/21 $$\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\int_{−\infty} ^{\:\infty} \:\frac{\mathrm{ln}\left(\sqrt{{x}^{\mathrm{4}} +\mathrm{1}}\right)}{\:\sqrt{{x}^{\mathrm{4}} +\mathrm{1}}}\:\:{dx} \\ $$$$\: \\ $$ Terms of Service Privacy Policy…
Question Number 155194 by mnjuly1970 last updated on 26/Sep/21 Terms of Service Privacy Policy Contact: info@tinkutara.com