Category: Integration

Question Number 166796 by cortano1 last updated on 28/Feb/22 $$\int \frac{\sin {}^3\mathrm{x}}{(\cos {}^2\mathrm{x}+1)\sqrt{\cos {}^2\mathrm{x}+1}}\mathrm{dx}$$ Answered by MJS_new last updated on 28/Feb/22 $$\int\frac{\mathrm{sin}^{\mathrm{3}} \:{x}}{\left(\mathrm{1}+\mathrm{cos}^{\mathrm{2}} \:{x}\right)^{\mathrm{3}/\mathrm{2}}…

Question Number 35691 by prof Abdo imad last updated on 22/May/18 $$calculate{lim}_{a\to 0^{+}}{\int }_{-a}^a\sqrt{\frac{1+x^2}{a^2-x^2}}dx.$$ Terms of Service Privacy…

Question Number 35686 by prof Abdo imad last updated on 22/May/18 $$calculate{\int }_{\sqrt{3}}^{+\mathrm{\infty }}\frac{dx}{x\sqrt{2+x^2}}.$$ Commented by prof Abdo imad last updated on…

Question Number 101220 by Ar Brandon last updated on 01/Jul/20 $$\int {\int }_{\mathrm{D}}\sqrt{{\mathrm{x}}^2+{\mathrm{y}}^2}\mathrm{dxdy}\mathcal{D}=\{\begin{array}{l}(\mathrm{x},\mathrm{y})\in \mathbb{R},{\mathrm{x}}^2+{\mathrm{y}}^2⩾2\mathrm{y},{\mathrm{x}}^2+{\mathrm{y}}^2⩽1\\ \mathrm{x}⩾0,\mathrm{y}⩾0\end{array}$$ Answered by Ar Brandon last…

Question Number 35684 by prof Abdo imad last updated on 22/May/18 $$calculateI={\int }_0^1{e}^{2t}ln(1+e^t)dt$$ Commented by prof Abdo imad last updated…