Category: Integration

Question Number 66328 by mathmax by abdo last updated on 12/Aug/19 $$calculate{\int }_0^1\frac{dt}{{(1+t^2)}^3}$$ Commented by mathmax by abdo last updated…

Question Number 131866 by mnjuly1970 last updated on 09/Feb/21 $$\dots advancedcalculus\dots$$$$\mathrm{\Omega }={\int }_0^{\mathrm{\infty }}\frac{dx}{x^5(e^{\frac{1}{x}}-1)}=?$$$$$$ Answered by mnjuly1970 last updated…

Question Number 789 by 123456 last updated on 14/Mar/15 $$\underset{0}{\stackrel{1}{\int }}\underset{x-x^2}{\stackrel{\sqrt{x-x^2}}{\int }}\sqrt{x^2+y^2}dydx=?$$$$\int\underset{\mathrm{B}} {\int}\sqrt{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} }{dxdy}\:\:\:\:\:\mathrm{B}=\left\{\left({x},{y}\right)\in\mathbb{R}^{\mathrm{2}} :{y}\geqslant{x}−{x}^{\mathrm{2}} \wedge{x}^{\mathrm{2}}…

Question Number 131852 by mnjuly1970 last updated on 09/Feb/21 $$\dots analysis\left(II\right)\dots$$$$evaluate::$$$$\varnothing ={\int }_1^{10}{x}^{2}d\left(\left\{x\right\}\right)=?$$$$\left\{x\right\}::fractionalpartofx\dots$$$$$$ Answered by…

Question Number 66308 by mathmax by abdo last updated on 12/Aug/19 $$find\int \frac{dx}{(x+3)\sqrt{-x^2-4x}}$$ Commented by prof Abdo imad last updated on 16/Aug/19 $${let}\:{A}\:=\int\:\frac{{dx}}{\left({x}+\mathrm{3}\right)\sqrt{−{x}^{\mathrm{2}}…