Category: Integration

Question Number 42260 by math khazana by abdo last updated on 21/Aug/18 $$letf\left(a\right)={\int }_{-\mathrm{\infty }}^{+\mathrm{\infty }}cos\left({ax}^2\right)dxwitha>0$$$$1)calculatef\left(a\right)intermsofa$$$$)calculate{\int }_{-\mathrm{\infty }}^{+\mathrm{\infty }}cos\left(2x^2\right)dx$$$$\left.\mathrm{3}\right)\:{find}\:{the}\:{value}\:{of}\:\:\int_{−\infty}…

Question Number 42232 by maxmathsup by imad last updated on 20/Aug/18 $$calculate{\int }_0^{2\pi }\frac{d\theta }{{(1+cos\theta )}^3}$$ Answered by MJS last updated on 21/Aug/18 $$\mathrm{simply}\:\mathrm{Weierstrass}…

Question Number 42222 by maxmathsup by imad last updated on 20/Aug/18 $$letf\left(x\right)=e^{-\mid x\mid },2\pi periodicevendeveloppfatfourierserie.$$ Answered by maxmathsup by imad last updated on 21/Aug/18 $${f}\left({x}\right)=\frac{{a}_{\mathrm{0}}…

Question Number 107756 by bemath last updated on 12/Aug/20 $$\frac{\mathcal{B}e\mathcal{M}ath}{\coprod }$$$$\int x^2\ln (x^2+3)dx$$ Answered by hgrocks last updated on 12/Aug/20 $$ \…

Question Number 42191 by maxmathsup by imad last updated on 19/Aug/18 $$let{A}_p={\int }_0^{\mathrm{\infty }}\frac{sin\left(px\right)}{e^x-1}dxwithp>0$$$$1)give{A}_{p}atformofserie$$$$2)give{A}_{1}atformofserie.$$ Commented…