Question Number 53078 by gunawan last updated on 16/Jan/19 $$\int_{\mathrm{0}} ^{\mathrm{1}} \frac{\mathrm{1}}{\left({x}^{\mathrm{3}} +\mathrm{1}\right)^{\mathrm{3}/\mathrm{2}} }\:{dx}=… \\ $$ Commented by MJS last updated on 17/Jan/19 $$\approx.\mathrm{774606} \\…
Question Number 184136 by greougoury555 last updated on 03/Jan/23 $$\:\underset{\mathrm{0}} {\overset{\mathrm{2}{n}\pi} {\int}}\:{max}\left(\mathrm{sin}\:{x},\:\mathrm{sin}^{−\mathrm{1}} \left(\mathrm{sin}\:{x}\right)\right)\:{dx}\:=?\: \\ $$$$\:\left[\:{n}\in\:{I}\:\right]\: \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 184112 by cortano1 last updated on 03/Jan/23 $$\:\:\int\:\frac{{dx}}{\left({x}−\mathrm{1}\right)^{\mathrm{5}/\mathrm{6}} \left({x}+\mathrm{2}\right)^{\mathrm{7}/\mathrm{6}} }\:=? \\ $$ Commented by sahalu last updated on 03/Jan/23 $$\:\:\int\:\frac{{dx}}{\left({x}−\mathrm{1}\right)^{\mathrm{5}/\mathrm{6}} \left({x}+\mathrm{2}\right)^{\mathrm{7}/\mathrm{6}} }\:=?\left.\begin{matrix}{\int}\\{}\end{matrix}\right\} \\…
Question Number 118575 by bramlexs22 last updated on 18/Oct/20 $$\:\:\int\:\mathrm{cos}\:\left(\mathrm{2cot}^{−\mathrm{1}} \sqrt{\frac{\mathrm{1}−{x}}{\mathrm{1}+{x}}}\:\right)\:{dx}\:? \\ $$ Answered by benjo_mathlover last updated on 18/Oct/20 $${set}\:\mathrm{cot}^{−\mathrm{1}} \left(\sqrt{\frac{\mathrm{1}−{x}}{\mathrm{1}+{x}}}\right)\:=\:\phi\:\Rightarrow\sqrt{\frac{\mathrm{1}−{x}}{\mathrm{1}+{x}}}\:=\:\mathrm{cot}\:\phi \\ $$$$\Rightarrow\:\mathrm{cot}\:^{\mathrm{2}} \phi\:=\:\frac{\mathrm{1}−{x}}{\mathrm{1}+{x}}\:,\:\mathrm{tan}\:^{\mathrm{2}}…
Question Number 118566 by benjo_mathlover last updated on 18/Oct/20 $$\:\:{solve}\:\:\underset{\mathrm{0}} {\overset{\mathrm{1}} {\int}}\:\frac{{dx}}{\:\sqrt{{x}}\:\sqrt{\mathrm{1}−{x}}\:}\:. \\ $$ Commented by benjo_mathlover last updated on 18/Oct/20 $${in}\:{other}\:{way}\:{by}\:{substitute}\:{trigonometri} \\ $$$${letting}\:{x}\:=\:\mathrm{sin}\:^{\mathrm{2}} \theta\:\rightarrow{dx}=\mathrm{2sin}\:\theta\:\mathrm{cos}\:\theta\:{d}\theta…
Question Number 52999 by Tawa1 last updated on 16/Jan/19 $$\int_{\mathrm{0}} ^{\:\infty} \:\:\frac{\boldsymbol{\mathrm{x}}\:\boldsymbol{\mathrm{ln}}^{\mathrm{2}} \left(\boldsymbol{\mathrm{x}}\right)}{\boldsymbol{\mathrm{e}}^{\boldsymbol{\mathrm{x}}} \:−\:\mathrm{1}}\:\:\boldsymbol{\mathrm{dx}}\:\:\: \\ $$ Commented by tanmay.chaudhury50@gmail.com last updated on 16/Jan/19 $${tough}\:{question}…{wait}… \\…
Question Number 118541 by bramlexs22 last updated on 18/Oct/20 $$\:\:\:\int\:\mathrm{tan}\:\left({x}\right).\mathrm{tan}\:\left(\mathrm{2}{x}\right).\mathrm{tan}\:\left(\mathrm{3}{x}\right)\:{dx}\:=\:? \\ $$ Commented by bramlexs22 last updated on 18/Oct/20 $${thank}\:{you}\:{all}\: \\ $$ Answered by Lordose…
Question Number 184061 by mathlove last updated on 02/Jan/23 $$\int\frac{{sin}^{−\mathrm{1}} \sqrt{{x}}−{cos}^{−\mathrm{1}} \sqrt{{x}}}{{sin}^{−\mathrm{1}} \sqrt{{x}}+{cos}^{−\mathrm{1}} \sqrt{{x}}}{dx}=? \\ $$ Answered by SEKRET last updated on 02/Jan/23 $$\:\:\:\boldsymbol{\mathrm{arcsin}}\left(\sqrt{\boldsymbol{\mathrm{x}}}\:\right)+\:\boldsymbol{\mathrm{arccos}}\left(\sqrt{\boldsymbol{\mathrm{x}}}\:\right)=\:\frac{\boldsymbol{\pi}}{\mathrm{2}} \\…
Question Number 52988 by Joel578 last updated on 16/Jan/19 $$\int\:\frac{{x}^{\mathrm{2}} }{\:\sqrt{\mathrm{1}\:+\:{x}^{\mathrm{4}} }}\:{dx} \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 16/Jan/19 $$\int{x}^{\mathrm{2}} ×\left(\mathrm{1}+{x}^{\mathrm{4}} \right)^{\frac{−\mathrm{1}}{\mathrm{2}}} {dx}…
Question Number 118491 by Lordose last updated on 18/Oct/20 $$ \\ $$$$…\:\blacklozenge\mathrm{Advanced}\:\mathrm{Calculus}\blacklozenge… \\ $$$$ \\ $$$$\mathrm{Evaluate}:: \\ $$$$ \\ $$$$\Omega\:=\:\int_{\mathrm{0}} ^{\:\infty} \frac{\mathrm{sec}\theta}{\:\sqrt{\mathrm{4tan}^{\mathrm{2}} \theta+\mathrm{5}}}\mathrm{d}\theta \\ $$$$…