Category: Integration

Question Number 7026 by Tawakalitu. last updated on 07/Aug/16 Commented by Yozzii last updated on 07/Aug/16 $$Write\int \frac{sinx+cosx}{{sin}^{4}x+{cos}^{4}x}dx=\int \frac{sinx}{{sin}^{4}x+{cos}^{4}x}dx+\int \frac{cosx}{{sin}^{4}x+{cos}^{4}x}dx.$$$${Evaluate}\:{each}\:{integral}\:{by}\:{the}\:{following}\:{steps}…

Question Number 138086 by EnterUsername last updated on 10/Apr/21 $${\int }_0^{\frac{\pi }{2}}\ln \left(\frac{{\ln }^2\left(\sin \theta \right)}{{\pi }^2+{\ln }^2\left(\sin \theta \right)}\right)\frac{\ln \left(\cos \theta \right)}{\tan \theta }\mathrm{d}\theta$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 138065 by mnjuly1970 last updated on 09/Apr/21 $$$$$$\dots nice\dots \dots \dots calculus\dots$$$$prove::$$$$\mathrm{\Omega }=\underset{n=1}{\sum ^{\mathrm{\infty }}}\frac{\zeta (2n+1)-1}{n+1}=-\gamma +log\left(2\right)$$ Answered by Ñï= last updated…

Question Number 138041 by mnjuly1970 last updated on 09/Apr/21 $$\dots \dots .advanced\dots \dots \dots calculus\dots \dots$$$$provethat:::$$$$\mathit{\varphi }={\int }_0^1\psi \left(x\right).sin\left(2\pi x\right)dx=-\frac{\pi }{2}\dots ✓$$$$$$ Answered by Dwaipayan Shikari last…

Question Number 6979 by Fitrah A last updated on 04/Aug/16 $$\underset{0}{\stackrel{\pi }{\int }}(sin3x+cosx)dx=?$$ Answered by sandy_suhendra last updated on 04/Aug/16 $$=\left[−\frac{\mathrm{1}}{\mathrm{3}}{cos}\:\mathrm{3}{x}\:+\:{sin}\:{x}\right]_{\mathrm{0}} ^{\pi} \…