Category: Integration

Question Number 138733 by mnjuly1970 last updated on 17/Apr/21 $$\dots ..mathematical\dots .analysis\dots ..$$$$supposef:[a,b]\to \mathbb{R}isafunction$$$$and\alpha :[a,b]\stackrel{\alpha <img\; draggable="false"\; role="img"\; class="emoji"\; alt="\nearrow "\; src="https://s.w.org/images/core/emoji/15.0.3/svg/2197.svg">}{\to }\mathbb{R}(\alpha isanincreasingfunction$$$$on[a,b])meanwhile\alpha iscontinuousat{y}_0$$$$wherea⩽y_0⩽b.defining$$$$\:\:\:{f}\left({x}\right)=$$\{\begin{array}{l}1x=y_0\\ 0x\ne y_0\end{array}$$…

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}}…