Category: Integration

Question Number 69027 by rajesh4661kumar@gmail.com last updated on 18/Sep/19 Commented by mathmax by abdo last updated on 18/Sep/19 $$I={\int }_0^{2\pi }sinxdx-{\int }_0^{2\pi }\mid sinx\mid dxbut$$$$\int_{\mathrm{0}}…

Question Number 134547 by EDWIN88 last updated on 05/Mar/21 $$\mathcal{R}={\int }_0^{3a}x\sqrt{\frac{3a-x}{x+a}}dx$$ Answered by liberty last updated on 05/Mar/21 $$\mathrm{by}\mathrm{change}\mathrm{of}\mathrm{variable}$$$$\:\mathrm{let}\:\sqrt{\frac{\mathrm{3}{a}−{x}}{{x}+{a}}}\:={h}\:\Rightarrow\:{x}=\frac{−{ah}^{\mathrm{2}} +\mathrm{3}{a}}{{h}^{\mathrm{2}}…

Question Number 68967 by aliesam last updated on 17/Sep/19 Answered by mind is power last updated on 17/Sep/19 $$tg\left(\frac{x}{2}\right)=t$$$$dx=\frac{2dt}{1+t^2}$$$$\Rightarrow{sin}\left({x}\right)=\frac{\mathrm{2}{t}}{\mathrm{1}+{t}^{\mathrm{2}} }\:\:{cos}\left({x}\right)=\frac{\mathrm{1}−{t}^{\mathrm{2}}…

Question Number 134474 by rs4089 last updated on 04/Mar/21 $$Evaluate{\int }_0^{\mathrm{\infty }}\frac{sinx}{x^a}dx$$ Answered by Dwaipayan Shikari last updated on 04/Mar/21 $$\int_{\mathrm{0}} ^{\infty}…

Question Number 134454 by mnjuly1970 last updated on 03/Mar/21 $$\dots nicecalculus\dots$$$$findthevalueof:$$$$\mathit{\varphi }=\underset{n=1}{\sum ^{\mathrm{\infty }}}\frac{\zeta \left(2n\right)-1}{n+1}=?$$$$$$ Terms of Service Privacy Policy…