Category: Integration

Question Number 123034 by benjo_mathlover last updated on 21/Nov/20 Answered by mathmax by abdo last updated on 21/Nov/20 $$\chi\:=\int_{\mathrm{0}} ^{\infty} \:\frac{\mathrm{ln}\left(\mathrm{x}\right)}{\mathrm{1}+\mathrm{x}^{\mathrm{2}} }\mathrm{dx}\:\:\Rightarrow\chi=_{\mathrm{x}=\frac{\mathrm{1}}{\mathrm{t}}} \:\:\:−\int_{\mathrm{0}} ^{\infty} \:\:\frac{−\mathrm{lnt}}{\mathrm{1}+\frac{\mathrm{1}}{\mathrm{t}^{\mathrm{2}}…

Question Number 57490 by Abdo msup. last updated on 05/Apr/19 $$1)findF\left(a\right)={\int }_0^{\mathrm{\infty }}\frac{cos\left(ln(2+x^2)\right)}{a^2+x^2}dxwitha>0$$$$2)findthevalueof{\int }_0^{\mathrm{\infty }}\frac{cos\left(ln(2+x^2)\right)}{4+x^2}dx.$$ Commented…

Question Number 123023 by mnjuly1970 last updated on 21/Nov/20 $$\dots advancedcalculus\dots$$$$calculate:::$$$$\mathrm{I}:\stackrel{???}{=}{\int }_0^{\pi }\frac{x}{1-sin\left(x\right)cos\left(x\right)}dx$$$$\dots \dots \dots \dots \dots \dots \dots \dots \dots \dots ..$$ Answered by mnjuly1970 last…

Question Number 188552 by normans last updated on 03/Mar/23 Commented by normans last updated on 03/Mar/23 $$useaquicktricktosolvetheproblem.$$$$thankyou..$$ Terms of Service Privacy…

Question Number 122979 by bemath last updated on 21/Nov/20 $${\int }_0^{\pi }\frac{x\sin x}{\sqrt{3+\sin {}^{2}x}}dx?$$ Answered by liberty last updated on 21/Nov/20 $$\psi\left({x}\right)=\int_{\mathrm{0}} ^{\pi} \frac{{x}\mathrm{sin}\:{x}}{\:\sqrt{\mathrm{4}−\mathrm{cos}\:^{\mathrm{2}}…