Category: Integration

Question Number 33341 by prof Abdo imad last updated on 14/Apr/18 $$findthevalueof{\int }_0^{\mathrm{\infty }}\frac{dx}{(1+x^2)(a^2+x^2)}$$$$2)findthevalueof$$$${A}\left(\theta\right)\:=\:\int_{\mathrm{0}} ^{\infty} \:\:\:\:\frac{{dx}}{\left(\mathrm{1}+{x}^{\mathrm{2}} \right)\left(\:{x}^{\mathrm{2}} \:+\mathrm{1}\:−{sin}^{\mathrm{2}}…

Question Number 33339 by prof Abdo imad last updated on 14/Apr/18 $$find{lim}_{n\to \mathrm{\infty }}{\int }_0^{\mathrm{\infty }}{e}^{-x^2}{sin}^{n}xdx$$ Commented by prof Abdo imad…

Question Number 33338 by prof Abdo imad last updated on 14/Apr/18 $$find{lim}_{n\to \mathrm{\infty }}{\int }_0^{+\mathrm{\infty }}{tan}^{n}xdx.$$ Commented by math khazana by abdo last…

Question Number 33334 by prof Abdo imad last updated on 14/Apr/18 $$decomposeF\left(x\right)=\frac{x^2}{x^4-1}imsideR\left(x\right)$$$$2)findthevalueof{\int }_2^{+\mathrm{\infty }}\frac{x^2}{x^4-1}.$$ Commented by prof…

Question Number 33328 by prof Abdo imad last updated on 14/Apr/18 $$find{\int }_{\frac{\pi }{4}}^{\frac{4}{\pi }}(1+\frac{1}{x^2})arctanxdx$$ Commented by math khazana by abdo last updated…