Category: Integration

Question Number 33340 by prof Abdo imad last updated on 14/Apr/18 $$findaequivalentof$$$$A_n={\int }_0^n\sqrt{1+{(1-\frac{x}{n})}^n}dx(n\to \mathrm{\infty })$$ Commented by prof Abdo imad…

Question Number 33333 by prof Abdo imad last updated on 14/Apr/18 $$lethive{I}_n={\int }_0^{\frac{\pi }{2}}{\left(sinx\right)}^{n}dx$$$$provethat{I}_n\sim \sqrt{\frac{\pi }{2n}}(n\to \mathrm{\infty })$$$$$$ Terms of…

Question Number 33331 by prof Abdo imad last updated on 14/Apr/18 $$calcilate{\int }_0^1\frac{dx}{{(1+x^2)}^3}$$ Commented by math khazana by abdo last…

Question Number 33329 by prof Abdo imad last updated on 14/Apr/18 $$find\int \frac{dx}{\sqrt{4x-x^2}}.$$ Commented by prof Abdo imad last updated on 19/Apr/18 $${I}\:\:=\:\int\:\:\:\:\:\frac{{dx}}{\:\sqrt{−{x}^{\mathrm{2}}…

Question Number 164395 by amin96 last updated on 16/Jan/22 Answered by mnjuly1970 last updated on 17/Jan/22 Commented by mnjuly1970 last updated on 17/Jan/22 $$\:\:{thank}\:{you}\:{so}\:{much}\:{my}\:{dear}\:{friend} \…