Category: Integration

Question Number 34714 by abdo mathsup 649 cc last updated on 10/May/18 $$calculate\int {\int }_{x^2+2y^2⩽1}(x^2-y^2)dxdy$$ Commented by math khazana by…

Question Number 165757 by Zaynal last updated on 07/Feb/22 Answered by Mathspace last updated on 08/Feb/22 $$p\left(x\right)=\prod _{n=1}^{100}(x+n)\Rightarrow \frac{p^{{}^{\prime }}\left(x\right)}{p\left(x\right)}$$$$=\sum_{{n}=\mathrm{1}} ^{\mathrm{100}} \frac{\mathrm{1}}{{x}+{n}}\:\Rightarrow \…

Question Number 100215 by Rio Michael last updated on 25/Jun/20 $$\mathrm{evaluate}\underset{n\to \mathrm{\infty }}{\lim }{\int }_1^e{x}^n\ln xdx$$ Commented by Dwaipayan Shikari last updated on 25/Jun/20…

Question Number 34674 by math khazana by abdo last updated on 09/May/18 $$find{\int }_0^{\pi }\frac{xsinx}{1+{cos}^{2}x}dx$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 165741 by metamorfose last updated on 07/Feb/22 $${\int }_0^{\pi }\frac{dt}{1-sina.cost}=???,a\in ]0,\frac{\pi }{2}[$$ Answered by MJS_new last updated on 08/Feb/22 $$a\in ]0;\frac{\pi }{2}[\Rightarrow 0<\sin a<1\Rightarrow \mathrm{let}\sin a=A;0<A<1$$$$\int\frac{{dt}}{\mathrm{1}−{A}\mathrm{cos}\:{t}}= \…