Category: Integration

Question Number 67246 by Learner-123 last updated on 24/Aug/19 $$Integrate:$$$$1)\underset{3}{\stackrel{\mathrm{\infty }}{\int }}\frac{1/xdx}{ln\left(x\right)\sqrt{{ln}^{2}x-1}}$$$$2)\underset{1}{\stackrel{\mathrm{\infty }}{\int }}\frac{e^{x}dx}{1+e^{2x}}$$$$\left.\mathrm{3}\right)\:\underset{\mathrm{1}} {\overset{\infty} {\int}}\:\frac{\mathrm{2}^{{x}}…

Question Number 67233 by prof Abdo imad last updated on 24/Aug/19 $$calculate{\int }_0^1\frac{xdx}{\sqrt{1+x^4}}$$ Commented by mind is power last updated on…

Question Number 132765 by Ahmed1hamouda last updated on 16/Feb/21 Answered by mr W last updated on 16/Feb/21 Commented by mr W last updated on 16/Feb/21…

Question Number 1673 by 123456 last updated on 31/Aug/15 $$\omega \in \mathbb{R},\omega >0$$$$0<\alpha <\beta$$$$f_m(\alpha ,\beta )=\frac{\omega }{\beta -\alpha }\underset{\alpha /\omega }{\stackrel{\beta /\omega }{\int }}\sin \left(\omega t\right)dt$$$$f_r(\alpha ,\beta )=\sqrt{\frac{\omega }{\beta -\alpha }\underset{\alpha /\omega }{\stackrel{\beta /\omega }{\int }}{\sin }^2\left(\omega t\right)dt}$$$${f}_{{m}}…

Question Number 132729 by mnjuly1970 last updated on 16/Feb/21 $$\dots .advancedcalculus\dots$$$$evaluate:$$$$\mathit{\varphi }={\int }_0^{\mathrm{\infty }}{xe}^{-2x}ln\left(x\right)dx=???$$$$$$ Answered by Olaf last…