Category: Integration

Question Number 72015 by mathmax by abdo last updated on 23/Oct/19 $$find\int \frac{arctan(x-\frac{1}{x})}{x^2+1}dx$$ Commented by mathmax by abdo last updated on 07/Nov/19 $${let}\:{A}\:=\int\:\:\frac{{arctan}\left({x}−\frac{\mathrm{1}}{{x}}\right)}{{x}^{\mathrm{2}}…

Question Number 6468 by Temp last updated on 28/Jun/16 $$I\left(t\right)={\int }_0^t{e}^{i\pi x}{x}^{-x}dx,t\in \mathbb{Z}$$ Commented by Temp last updated on 28/Jun/16 $${I}\left({t}\right)=\int_{\mathrm{0}} ^{\:{t}}…

Question Number 137536 by Mathspace last updated on 03/Apr/21 $$calculte{\int }_{-\mathrm{\infty }}^{\mathrm{\infty }}\frac{sin\left(\pi x^2\right)}{{(x^2+2x+2)}^2}dx$$ Answered by mathmax by abdo last updated on…

Question Number 137518 by Lordose last updated on 03/Apr/21 $$\mathrm{\Omega }={\int }_0^{\mathrm{\infty }}\frac{{\mathrm{u}}^2+2}{{\mathrm{u}}^4+{2\mathrm{u}}^2+2}\mathrm{du}$$ Answered by mathmax by abdo last updated on…

Question Number 6444 by sanusihammed last updated on 27/Jun/16 $$I=\int \frac{dx}{sinx+sin2x}$$ Commented by Temp last updated on 27/Jun/16 $$\mathrm{Try}\mathrm{www}.\mathrm{WolframAlpha}.\mathrm{com}$$$$\mathrm{search}:$$$$“{int}\:\mathrm{1}/\left({sin}\left({x}\right)+{sin}\left(\mathrm{2}{x}\right)\right)\:{dx}'' \…