Category: Integration

Question Number 73182 by mathmax by abdo last updated on 07/Nov/19 $$calculate{\int }_0^{\mathrm{\infty }}{xe}^{-x^2}arctan(x-\frac{1}{x})dx$$ Commented by mathmax by abdo last updated…

Question Number 73180 by mathmax by abdo last updated on 07/Nov/19 $$calculate{\int }_0^{\mathrm{\infty }}\frac{lnx}{{(x+1)}^3}dx$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 73178 by mathmax by abdo last updated on 07/Nov/19 $$calculate{\int }_0^{\mathrm{\infty }}\frac{ln(2+x^2)}{x^2-x+1}dx$$ Answered by mind is power last updated…

Question Number 7637 by Tawakalitu. last updated on 07/Sep/16 $$\int x^{x}dx$$ Answered by FilupSmith last updated on 07/Sep/16 $${x}^{{x}} ={e}^{{x}\mathrm{ln}\left({x}\right)} =\underset{{n}=\mathrm{0}} {\overset{\infty} {\sum}}\frac{{x}^{{n}}…

Question Number 73155 by MJS last updated on 06/Nov/19 $$\mathrm{reposting}\mathrm{a}\mathrm{former}\mathrm{question}\dots$$$$\int \frac{\sqrt[5]{x}-1}{\sqrt{x}+1}dx=$$$$[t=\sqrt[10]{x}\to dx=10\sqrt[10]{x^9}dx]$$$$=10\int \frac{t^9(t-1)}{t^4-t^3+t^2-t+1}dt=$$$$=\mathrm{10}\int\left({t}^{\mathrm{6}} −{t}^{\mathrm{4}} −{t}\right){dt}+\mathrm{10}\int\frac{{t}\left({t}^{\mathrm{2}}…