Category: Integration

Question Number 86034 by ar247 last updated on 26/Mar/20 $$\int \frac{dx}{\sqrt{{\times }^2+4}}$$ Answered by TANMAY PANACEA. last updated on 26/Mar/20 $$x=2tana\frac{dx}{da}=2{sec}^{2}a$$$$\int\frac{\mathrm{2}{sec}^{\mathrm{2}}…

Question Number 86015 by mathmax by abdo last updated on 26/Mar/20 $$calculate{\int }_0^{+\mathrm{\infty }}\frac{dx}{{(x^2-x+2)}^4}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 20471 by ajfour last updated on 27/Aug/17 $$Findthesurfaceareaofasolid$$$$thatiscommonpartoftwo$$$$cylinders{x}^2+y^2=a^2,y^2+z^2=a^2.$$$$\mathit{C}\mathit{o}\mathit{m}\mathit{p}\mathit{u}\mathit{t}\mathit{e}\mathit{t}\mathit{h}\mathit{e}\mathit{v}\mathit{o}\mathit{l}\mathit{u}\mathit{m}\mathit{e}\mathit{a}\mathit{l}\mathit{s}\mathit{o}.$$ Commented…

Question Number 20467 by tammi last updated on 27/Aug/17 $$\int (a\sin {}^{2}x+b\cos {}^{2}x)dx$$ Answered by ajfour last updated on 27/Aug/17 $$=\frac{a}{2}\int (1-\cos 2x)dx+\frac{b}{2}\int (1+\cos 2x)dx$$$$=\frac{{a}}{\mathrm{2}}\left({x}−\frac{\mathrm{sin}\:\mathrm{2}{x}}{\mathrm{2}}\right)+\frac{{b}}{\mathrm{2}}\left({x}+\frac{\mathrm{sin}\:\mathrm{2}{x}}{\mathrm{2}}\right)+{C} \…

Question Number 20466 by tammi last updated on 27/Aug/17 $$\int \frac{\sin x\cos xdx}{{\sin }^{4}x+\cos {}^{4}x}$$ Answered by sma3l2996 last updated on 27/Aug/17 $$t={sin}^{2}x\Rightarrow dt=2sinxcosxdx$$$${I}=\frac{\mathrm{1}}{\mathrm{2}}\int\frac{{dt}}{{t}^{\mathrm{2}}…