Category: Integration

Question Number 28679 by abdo imad last updated on 28/Jan/18 $$ffunctioncontnueon[0,1].provethat$$$${lim}_{n\to +\mathrm{\infty }}n{\int }_0^1{t}^{n}f\left(t\right)dt=f\left(1\right).$$ Commented by abdo imad last updated…

Question Number 28676 by abdo imad last updated on 28/Jan/18 $$letgive{u}_n={\int }_{n\pi }^{(n+1)\pi }{e}^{-\lambda t}\frac{sint}{\sqrt{t}}with\lambda >0$$$$calculate\sum _{n=0}^{+\mathrm{\infty }}{u}_n.$$$$$$ Commented…

Question Number 94184 by MJS last updated on 17/May/20 $$\int \frac{x\sqrt[3]{x-a}}{\sqrt[3]{x-b}}dx=?$$$$\int \frac{\sqrt[3]{x-a}}{x\sqrt[3]{x-b}}dx=?$$ Commented by MJS last updated on 17/May/20 I can solve both but I want to know if there's an easier path. will post my solutions later. Answered by  M±th+et+s…

Question Number 94161 by i jagooll last updated on 17/May/20 $$\int \frac{\mathrm{dx}}{\mathrm{p}+\sqrt{\mathrm{qx}+\mathrm{r}}}$$ Commented by mathmax by abdo last updated on 17/May/20 $$I=\int \frac{dx}{p+\sqrt{qx+r}}weusethechangememt\sqrt{qx+r}=t\Rightarrow$$$${qx}+{r}\:={t}^{\mathrm{2}}…

Question Number 28615 by abdo imad last updated on 27/Jan/18 $$find{\int }_0^{\mathrm{\infty }}\frac{shx}{x}{e}^{-3x}dx.$$ Terms of Service Privacy Policy Contact: info@tinkutara.com