Category: Integration

Question Number 158492 by bobhans last updated on 05/Nov/21 $$\int \frac{\mathrm{dx}}{1+{\mathrm{x}}^7}?$$ Answered by Ar Brandon last updated on 05/Nov/21 $${x}^{\mathrm{7}} +\mathrm{1}=\mathrm{0}\Rightarrow{x}^{\mathrm{7}} ={e}^{\left(\mathrm{2}{k}+\mathrm{1}\right){i}\pi} \Rightarrow{x}_{{k}}…

Question Number 92949 by Ar Brandon last updated on 09/May/20 $$\int \frac{1}{\mathrm{x}}\sin \left(\frac{1}{\mathrm{x}}\right)\mathrm{dx}$$ Commented by mathmax by abdo last updated on 10/May/20 $$I=\int \frac{1}{x}sin\left(\frac{1}{x}\right)dxchangement\frac{1}{x}=tgive$$$${I}\:=\int{t}\:{sint}\:\left(−\frac{{dt}}{{t}^{\mathrm{2}}…

Question Number 27410 by math1967 last updated on 06/Jan/18 $$\underset{0}{\stackrel{\mathrm{\infty }}{\int }}\frac{sinxdx}{x}$$ Commented by math1967 last updated on 07/Jan/18 $$Thankyousir$$ Commented…

Question Number 92938 by mathmax by abdo last updated on 09/May/20 $$find\int \frac{dx}{(1+cosx)(3-{sin}^{2}x)}$$ Answered by niroj last updated on 10/May/20 $$$$$$\:\:\int\frac{\left(\mathrm{1}−\mathrm{cos}\:\mathrm{x}\right)\mathrm{dx}}{\left(\mathrm{1}−\mathrm{cos}^{\mathrm{2}}…

Question Number 27400 by Tinkutara last updated on 06/Jan/18 $$Evaluate\underset{r}{\stackrel{0}{\int }}\sqrt{\frac{x}{r-x}}dx$$ Commented by Tinkutara last updated on 07/Jan/18 $$ButthisintegralwasusedinaPhysics$$$${question}\:{where}\:{its}\:{value}\:{can}'{t}\:{be} \…