Category: Integration

Question Number 37349 by math khazana by abdo last updated on 12/Jun/18 $$calculate{\int }_0^{2\pi }\frac{dt}{1-2pcost+p^2}if\mid p\mid <1$$ Commented by math khazana by abdo last…

Question Number 37347 by math khazana by abdo last updated on 12/Jun/18 $$letr=\sqrt{p^2+q^2}pandqfromRandp>0q>0$$$$1)provethat{\int }_0^{+\mathrm{\infty }}{e}^{-px}\frac{cos\left(px\right)}{\sqrt{x}}dx=\frac{\sqrt{\pi }}{r}\sqrt{\frac{r+p}{2}}$$$$\left.\mathrm{2}\right)\:\int_{\mathrm{0}} ^{\infty} \:\:{e}^{−{px}} \:\:\frac{{sin}\left({qx}\right)}{\:\sqrt{{x}}}{dx}\:=\frac{\sqrt{\pi}}{{r}}\:\sqrt{\frac{{r}−{p}}{\mathrm{2}}}…

Question Number 37346 by math khazana by abdo last updated on 12/Jun/18 $$findthevalueof{\int }_0^{2\pi }\frac{dt}{a{cos}^{2}t+b{sin}^{2}t}$$$$witha>0andb>0.$$ Terms of Service Privacy…

Question Number 37343 by math khazana by abdo last updated on 12/Jun/18 $$letf\left(x\right)={\int }_0^{1}ln(1+{xt}^2)dtwith\mid x\mid <1$$$$1)findf\left(x\right)$$$$2)calculate{\int }_0^{1}ln(2+t^2)dt.$$…

Question Number 37337 by math khazana by abdo last updated on 12/Jun/18 $$calculate{A}_n={\int }_0^1{ch}^{n}xdx.$$ Commented by math khazana by abdo…