Category: Integration

Question Number 49134 by AdqhK ÐQeQqQ last updated on 03/Dec/18 $$\int \frac{1}{x^{1/6}+x^{1/3}}dx=??$$ Answered by arvinddayama01@gmail.com. last updated on 03/Dec/18 $$putx=t^6$$$$\:\:\:\:\:\:\:{dx}=\mathrm{6}{t}^{\mathrm{5}}…

Question Number 49133 by AdqhK ÐQeQqQ last updated on 03/Dec/18 $$\int \frac{1}{x^5+1}dx=??$$ Commented by tanmay.chaudhury50@gmail.com last updated on 04/Dec/18 $$plsmentionthesourceofthisintregal\dots$$ Answered…

Question Number 49094 by maxmathsup by imad last updated on 02/Dec/18 $$calculate{\int }_{-\pi }^{\pi }\frac{x^2}{sin\left(sinx\right)+\sqrt{1+{sin}^2\left(sinx\right)}}dx$$ Commented by Meritguide1234 last updated on 03/Dec/18…

Question Number 114566 by Akeyz last updated on 19/Sep/20 Answered by mathmax by abdo last updated on 19/Sep/20 $$\mathrm{we}\:\mathrm{have}\:\prod_{\mathrm{k}=\mathrm{1}} ^{\infty} \:\mathrm{cos}\left(\frac{\mathrm{x}}{\mathrm{2}^{\mathrm{k}} }\right)\:=\mathrm{lim}_{\mathrm{n}\rightarrow+\infty} \mathrm{A}_{\mathrm{n}} \left(\mathrm{x}\right)\:\mathrm{with}\:\mathrm{A}_{\mathrm{n}} \left(\mathrm{x}\right)=\prod_{\mathrm{k}=\mathrm{1}}…

Question Number 114541 by mnjuly1970 last updated on 19/Sep/20 Answered by abdomsup last updated on 19/Sep/20 $$A={\int }_0^1\frac{x^{2}ln\left(x\right)}{1-x^2}dx\Rightarrow$$$${A}\:=\int_{\mathrm{0}} ^{\mathrm{1}} {x}^{\mathrm{2}}…