Category: Integration

Question Number 103742 by mathmax by abdo last updated on 17/Jul/20 $$\mathrm{calculate}{\int }_0^{\mathrm{\infty }}\frac{\mathrm{dx}}{{(2\mathrm{x}+1)}^4{(\mathrm{x}+3)}^5}$$ Answered by mathmax by abdo last updated…

Question Number 38204 by prof Abdo imad last updated on 22/Jun/18 $$if\frac{1}{cosx}=\frac{a_0}{2}+\sum _{n=1}^{\mathrm{\infty }}{a}_{n}cos\left(nx\right)$$$$calculate{a}_{0}and{a}_n$$ Commented by math khazana…

Question Number 38203 by prof Abdo imad last updated on 22/Jun/18 $$letx\ne \frac{\pi }{2}+k\pi ,k\in Z.provethat$$$$\frac{1}{2cosx}=\sum _{n=0}^{\mathrm{\infty }}{(-1)}^n\left(cos(2n+1)x\right)$$ Terms of Service Privacy Policy Contact:…

Question Number 169268 by amin96 last updated on 27/Apr/22 $$\mathbf{\Omega }=\int \frac{{\mathbf{cos}}^2\left(\mathbf{ln}\left(\mathbf{tan}\frac{\mathbf{x}}{2}\right)\right)}{\mathbf{tan}\left(\frac{\mathbf{x}}{2}\right)}\mathbf{dx}=?$$ Answered by Mathspace last updated on 28/Apr/22 $$ln\left(tan\left(\frac{x}{2}\right)\right)=t\Rightarrow tan\left(\frac{x}{2}\right)=e^t$$$$\Rightarrow{x}=\mathrm{2}{arctan}\left({e}^{{t}} \right)\:\Rightarrow \…

Question Number 38201 by prof Abdo imad last updated on 22/Jun/18 $$calculateI={\int }_0^{\mathrm{\infty }}{xe}^{-x^2}\sqrt{1-e^{-2x^2}}dx$$ Terms of Service Privacy Policy…