Category: Integration

Question Number 66245 by aliesam last updated on 11/Aug/19 $$provethat$$$$$$$$\int e^{x}dx=e^x+c$$ Commented by Rio Michael last updated on…

Question Number 689 by 112358 last updated on 25/Feb/15 $$Evaluate$$$$\left(1\right){\int }_0^{\mathrm{\infty }}sin\left(x^2\right)dx,$$$$\left(2\right){\int }_0^{\mathrm{\infty }}cos\left(x^2\right)dx,$$$$\left(\mathrm{3}\right)\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\int_{\mathrm{0}} ^{\infty} {tan}\left({x}^{\mathrm{2}} \right){dx}.…

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…