Category: Integration

Question Number 44470 by abdo.msup.com last updated on 29/Sep/18 $$find{\int }_0^{\mathrm{\infty }}\frac{dt}{1+t^2{sin}^{2}t}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 175531 by cortano1 last updated on 01/Sep/22 $$\int \frac{dt}{5\cos t+6\sin t}=?$$ Answered by Ar Brandon last updated on 01/Sep/22 $$I=\int \frac{dt}{5\cos t+6\sin t},x=\tan \frac{t}{2}$$$$\:\:\:=\int\frac{\mathrm{2}}{\mathrm{5}\left(\frac{\mathrm{1}−{x}^{\mathrm{2}} }{\mathrm{1}+{x}^{\mathrm{2}} }\right)+\mathrm{6}\left(\frac{\mathrm{2}{x}}{\mathrm{1}+{x}^{\mathrm{2}}…

Question Number 109989 by 150505R last updated on 26/Aug/20 Commented by 150505R last updated on 26/Aug/20 $$pleasesolve$$ Answered by maths mind last updated…

Question Number 44441 by Tawa1 last updated on 29/Sep/18 Answered by tanmay.chaudhury50@gmail.com last updated on 29/Sep/18 $$\underset{t\to 0}{\lim }\frac{e^{-5t}-1}{-5t}\times -5$$$$=1\times -5=-5$$$$\underset{{t}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{{t}^{\mathrm{11}} }{{t}^{\mathrm{11}}…

Question Number 44422 by peter frank last updated on 28/Sep/18 $$usesubstitutionx=\cos {}^2\theta +3{sin}^2\theta$$$$showthat{\int }_1^3\frac{dx}{\sqrt{(x-1)(3-x)}}=\pi$$ Commented by maxmathsup by imad last…