Category: Integration

Question Number 32351 by abdo imad last updated on 23/Mar/18 $$calculate{\int }_0^{\frac{\pi }{2}}\frac{dt}{1+cos\theta sint}.$$ Answered by sma3l2996 last updated on 25/Mar/18 $${let}\:{x}={tan}\left({t}/\mathrm{2}\right)\Rightarrow{dt}=\frac{\mathrm{2}{dx}}{\mathrm{1}+{x}^{\mathrm{2}} } \…

Question Number 32342 by abdo imad last updated on 23/Mar/18 $$findthevalueof\int {\int }_D\frac{dxdy}{{(4x^2+y^2+1)}^2}$$$$D=\{(x,y)\in R^2/x^2+y^2⩽1andy⩽2x\}.$$ Terms of Service…

Question Number 163414 by AbdullahIbrahim last updated on 06/Jan/22 $$\int \frac{\mathit{d}\mathit{x}}{\sqrt{\mathit{c}\mathit{o}\mathit{s}\mathit{x}{\mathit{s}\mathit{i}\mathit{n}}^3\mathit{x}}+\sqrt{\mathit{s}\mathit{i}\mathit{n}\mathit{x}{\mathit{c}\mathit{o}\mathit{s}}^3\mathit{x}}}$$ Answered by Ar Brandon last updated on 06/Jan/22 $${I}=\int\frac{{dx}}{\:\sqrt{\mathrm{cos}{x}\mathrm{sin}^{\mathrm{3}} {x}}+\sqrt{\mathrm{sin}{x}\mathrm{cos}^{\mathrm{3}} {x}}}…

Question Number 32339 by abdo imad last updated on 23/Mar/18 $$calculate{\int }_0^{+\mathrm{\infty }}\frac{th\left(3x\right)-th\left(2x\right)}{x}dx.$$ Commented by abdo imad last updated on 24/Mar/18 $${I}\:={lim}\:_{\xi\rightarrow+\infty} {I}\left(\xi\right)\:\:{with}\:{I}\left(\xi\right)\:=\:\int_{\mathrm{0}}…

Question Number 32338 by abdo imad last updated on 23/Mar/18 $$findthevalueof{\int }_0^1\frac{ln\left(t\right)}{(1+t)\sqrt{1-t^2}}dt.$$ Terms of Service Privacy Policy Contact: info@tinkutara.com