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 28158 by abdo imad last updated on 21/Jan/18

$$calculate\int {\int }_{x^2+y^2⩽1}\frac{dxdy}{3+x^2+y^2}.$$

Answered by ajfour last updated on 21/Jan/18

$$x^2+y^2=r^2$$$$dxdy=rdrd\theta$$$$\Rightarrow I={\int }_0^{2\pi }[{\int }_0^1\left(\frac{rdr}{3+r^2}\right)d\theta$$$$=\pi \ln \left(\frac{4}{3}\right).$$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com