Category: Integration

Question Number 158674 by cortano last updated on 07/Nov/21 Commented by tounghoungko last updated on 07/Nov/21 $$I_1=\int \frac{dx}{\sqrt[3]{x}+\sqrt[4]{x}};x=r^{12}$$$${I}_{\mathrm{1}} =\int\:\frac{\mathrm{12}{r}^{\mathrm{11}} }{{r}^{\mathrm{4}} +{r}^{\mathrm{3}} }\:{dr}=\int\:\frac{\mathrm{12}{r}^{\mathrm{8}} }{{r}+\mathrm{1}}\:{dr}…

Question Number 27595 by abdo imad last updated on 10/Jan/18 $$find\int {\int }_{D}xy\sqrt{x^2+y^2}dxdywith$$$$D=\{(x,y)\in R^2/x^2+2y^2⩽1,x⩾0,y⩾0\}$$ Commented by abdo imad…

Question Number 93109 by Mikael_786 last updated on 10/May/20 $$\underset{0}{\stackrel{2\pi }{\int }}{cos}^{2020}\left(x\right)dx$$ Commented by prakash jain last updated on 11/May/20 $$\int_{\mathrm{9}} ^{\mathrm{2}\pi}…

Question Number 27539 by Mr eaay last updated on 08/Jan/18 Commented by Tinkutara last updated on 08/Jan/18 For second part see question 27445 and 27400. Answered by Joel578 last updated on 09/Jan/18…

Question Number 93061 by Ar Brandon last updated on 10/May/20 $${\int }_1^{+\mathrm{\infty }}\frac{\sin \mathrm{u}}{\mathrm{u}}\mathrm{du}$$ Commented by mathmax by abdo last updated on 10/May/20 $${we}\:{have}\frac{\pi}{\mathrm{2}}\:=\int_{\mathrm{0}}…