Category: Integration

Question Number 133911 by liberty last updated on 25/Feb/21 $$\mathcal{A}=\int \frac{\cos \mathrm{x}}{\sin 5\mathrm{x}+\sin \mathrm{x}}\mathrm{dx}?$$ Answered by Ar Brandon last updated on 25/Feb/21 $$\mathcal{A}=\int \frac{\mathrm{cosx}}{\sin 5\mathrm{x}+\mathrm{sinx}}\mathrm{dx}=\int \frac{\mathrm{cosx}}{2\sin 3\mathrm{xcos}2\mathrm{x}}\mathrm{dx}$$$$\:\:\:\:=\frac{\mathrm{1}}{\mathrm{2}}\int\frac{\mathrm{cosx}\:\mathrm{dx}}{\left(\mathrm{3sinx}−\mathrm{4sin}^{\mathrm{3}} \mathrm{x}\right)\left(\mathrm{1}−\mathrm{2sin}^{\mathrm{2}} \mathrm{x}\right)}…

Question Number 133907 by mnjuly1970 last updated on 25/Feb/21 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 2818 by prakash jain last updated on 27/Nov/15 $$\mathrm{show}\mathrm{that}$$$${\mathrm{\Gamma }}^{\prime }\left(1\right)=-\gamma$$$$\mathrm{\Gamma }\mathrm{gamma}\mathrm{function}$$$$\gamma =\underset{n\to \mathrm{\infty }}{\lim }[{\mathrm{H}}_n-\ln n]$$ Answered by 123456 last…

Question Number 68316 by 9102176137086 last updated on 08/Sep/19 $$\int (4\sin 3x+\frac{e^{4x}}{4})$$ Commented by mathmax by abdo last updated on 08/Sep/19 $$=\mathrm{4}\int\:{sin}\left(\mathrm{3}{x}\right){dx}\:+\frac{\mathrm{1}}{\mathrm{4}}\int\:{e}^{\mathrm{4}{x}} {dx}\:+{c} \…

Question Number 2770 by Yozzi last updated on 26/Nov/15 $${\int }_2^{\mathrm{\infty }}\frac{dx}{x\sqrt{x-1}}=?$$ Answered by prakash jain last updated on 27/Nov/15 $${x}−\mathrm{1}=\mathrm{tan}^{\mathrm{2}} {u} \…