Question and Answers Forum

All Questions      Topic List

Integration Questions

Previous in All Question      Next in All Question      

Previous in Integration      Next in Integration      

Question Number 140490 by benjo_mathlover last updated on 08/May/21

Commented by john_santu last updated on 08/May/21

$$\frac{\pi }{2}(\sqrt{2\sqrt{2}+2}-2)\approx 0.31$$

Answered by MJS_new last updated on 08/May/21

$$\int \sqrt{\tan x(1-\tan x)}dx=$$$$[t=\frac{\sqrt{\tan x}}{\sqrt{1-\tan x}}\to dx={2\cos }^{2}x\sqrt{\tan x{(1-\tan x)}^3}dt]$$$$=\int \frac{t^2}{(t^2+1)(t^4+t^2+\frac{1}{2})}dt$$$$\mathrm{now}\mathrm{decompose}\mathrm{and}\mathrm{solve}.{\mathrm{I}}^{\prime }\mathrm{ll}\mathrm{complete}\mathrm{it}\mathrm{later}$$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com