Category: Integration

Question Number 62198 by maxmathsup by imad last updated on 17/Jun/19 $$find\int {\int }_{[0,1]}\frac{x^2-y^2}{3-\sqrt{x^2+y^2}}dxdy.$$ Terms of Service Privacy Policy Contact:…

Question Number 62196 by maxmathsup by imad last updated on 17/Jun/19 $$calculate{\int }_0^{\mathrm{\infty }}\frac{ln(2+e^{-t^2})}{t^2+3}dt$$ Commented by mathmax by abdo last…

Question Number 62195 by maxmathsup by imad last updated on 17/Jun/19 $$calculate{A}_n={\int }_{-\mathrm{\infty }}^{+\mathrm{\infty }}\frac{dx}{{(x^2+x+1)}^n}withnintegrnatural(n⩾1)$$ Terms of Service Privacy Policy Contact:…

Question Number 127725 by mnjuly1970 last updated on 01/Jan/21 $$\dots advancedmathematics\dots$$$$provethat::$$$$\underset{n=0}{\sum ^{\mathrm{\infty }}}\frac{1}{2^n\left(\begin{array}{c}3n\\ n\end{array}\right)}\stackrel{???}{=}\frac{3}{125}(\frac{11\pi }{6}-2log\left(2\right)+45)$$$$$$ Answered by Ar…

Question Number 62185 by aliesam last updated on 17/Jun/19 $$\int \frac{dx}{sin3x+sin4x}$$ Answered by MJS last updated on 17/Jun/19 $$\int \frac{dx}{\sin 3x+\sin 4x}=$$$$[t=\frac{1}{\cos x}\to dx=\frac{{\cos }^{2}x}{\sin x}]$$$$=−\int\frac{{t}^{\mathrm{3}}…