Category: Integration

Question Number 131743 by frc2crc last updated on 08/Feb/21 $$\underset{C:\mid z\mid =1}{\int }\frac{-2i}{{Az}^2+2z+A}dzwhereCisaunitcirclewithradius1$$ Answered by mathmax by abdo last updated on 08/Feb/21 $$\mathrm{let}\:\varphi\left(\mathrm{z}\right)=\frac{−\mathrm{2i}}{\mathrm{az}^{\mathrm{2}} \:+\mathrm{2z}+\mathrm{a}}\:\mathrm{poles}\:\mathrm{of}\:\varphi?…

Question Number 131711 by mnjuly1970 last updated on 07/Feb/21 $$advancedcslculus..$$$$provethat:$$$$\underset{n=0}{\sum ^{\mathrm{\infty }}}\frac{1}{{16}^n}(\frac{4}{8n+1}-\frac{2}{8n+4}-\frac{1}{8n+5}-\frac{1}{8n+6})=\pi$$ Commented by JDamian last updated on…

Question Number 66168 by mathmax by abdo last updated on 10/Aug/19 $$provewithoutcalculusthat{\int }_0^{\mathrm{\infty }}cos\left(x^2\right)dx={\int }_0^{\mathrm{\infty }}sin\left(x^2\right)dx$$ Terms of Service Privacy Policy…

Question Number 628 by malwaan last updated on 14/Feb/15 $${\int }_{\frac{3}{2}}^2{\left(\frac{x-1}{3-x}\right)}^{\frac{1}{2}}dx$$ Commented by malwaan1 last updated on 26/Feb/15 $$whatabouttheindefinieintegral?$$…

Question Number 66150 by mathmax by abdo last updated on 09/Aug/19 $$find{\int }_0^{\mathrm{\infty }}{e}^{-x^3}sin\left(x^3\right)dx$$ Commented by mathmax by abdo last…