Category: Integration

Question Number 67020 by mathmax by abdo last updated on 21/Aug/19 $$findf\left(x\right)={\int }_0^{1}arctan(1+xt)dtwithxreal$$ Commented by mathmax by abdo last updated on 22/Aug/19…

Question Number 67021 by mathmax by abdo last updated on 21/Aug/19 $$findf\left(x\right)={\int }_0^{1}ln(x+e^{-t})dtwithx>0$$ Commented by mathmax by abdo last updated on…

Question Number 67017 by mathmax by abdo last updated on 21/Aug/19 $$find\int arctan(1+\sqrt{x+1})dx$$ Commented by mathmax by abdo last updated on 24/Aug/19 $${let}\:{I}\:=\int\:{arctan}\left(\mathrm{1}+\sqrt{{x}+\mathrm{1}}\right){dx}\:\:{changement}\:\sqrt{{x}+\mathrm{1}}={t}\:{give}\:{x}+\mathrm{1}={t}^{\mathrm{2}} \:\Rightarrow…

Question Number 67012 by mathmax by abdo last updated on 21/Aug/19 $$find{\int }_1^{+\mathrm{\infty }}\frac{arctan\left(\left[x\right]\right)}{x^3}dx$$ Commented by mathmax by abdo last updated on…

Question Number 67011 by mathmax by abdo last updated on 21/Aug/19 $$calculate{U}_n={\int }_1^{+\mathrm{\infty }}\frac{arctan\left(n\left[x\right]\right)}{x^2}dx$$ Commented by mathmax by abdo last updated…