Category: Integration

Question Number 81313 by M±th+et£s last updated on 11/Feb/20 $$\int \frac{{(\mathrm{x}-2)}^3}{{(\mathrm{x}+2)}^5}\mathrm{dx}$$ Commented by M±th+et£s last updated on 11/Feb/20 $$\mathrm{sorry}\mathrm{there}\mathrm{is}\mathrm{a}\mathrm{typo}\mathrm{its}{(\mathrm{x}-2)}^{-3}$$…

Question Number 146835 by mathmax by abdo last updated on 16/Jul/21 $$\mathrm{calculate}{\int }_0^{\mathrm{\infty }}\frac{\mathrm{dx}}{{({\mathrm{x}}^2+3)}^2{({\mathrm{x}}^2+4)}^2}$$ Answered by mathmax by abdo…

Question Number 81279 by jagoll last updated on 11/Feb/20 $$\int \frac{\sqrt{2x+1}}{3x}dx=?$$ Commented by john santu last updated on 11/Feb/20 $$let{u}^2=2x+1\Rightarrow x=\frac{u^2-1}{2}$$$$\Rightarrow\frac{\mathrm{2}}{\mathrm{3}}\int\:\:\frac{{u}.\:{udu}}{{u}^{\mathrm{2}}…

Question Number 146791 by puissant last updated on 15/Jul/21 $$\int \frac{\mathrm{x}}{1+{\cos }^2\left(\mathrm{x}\right)}\mathrm{dx}$$ Answered by Ar Brandon last updated on 15/Jul/21 $$\mathrm{I}=\int\frac{\mathrm{x}}{\mathrm{1}+\mathrm{cos}^{\mathrm{2}} \mathrm{x}}\mathrm{dx}=\int\frac{\mathrm{xsec}^{\mathrm{2}} \mathrm{x}}{\mathrm{sec}^{\mathrm{2}} \mathrm{x}+\mathrm{1}}\mathrm{dx}…

Question Number 146756 by Bens last updated on 15/Jul/21 $$$$$$$$$$\underset{0}{\stackrel{1}{\int }}{t}^2+1dt$$ Answered by tabata last updated on…