Category: Integration

Question Number 65194 by mathmax by abdo last updated on 26/Jul/19 $$calculate{\int }_0^{1}ln\left(\mathrm{\Gamma }\left(x\right)\right)dxwith\mathrm{\Gamma }\left(x\right)={\int }_0^{\mathrm{\infty }}{t}^{x-1}{e}^{-t}dtandx>0$$ Terms of Service Privacy Policy…

Question Number 130698 by liberty last updated on 28/Jan/21 $$\mathrm{What}\mathrm{exact}\mathrm{value}\mathrm{of}\cot (1120°-\mathrm{x})$$$$\mathrm{where}\csc \mathrm{x}=3$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 130693 by mnjuly1970 last updated on 28/Jan/21 $$\dots nicecalculus\dots$$$$evaluate::$$$$={\int }_0^{\mathrm{\infty }}\frac{sin\left(x\right)}{e^x-1}dx=??$$$$\dots \dots \dots \dots \dots \dots ..$$ Answered by mnjuly1970…

Question Number 130678 by EDWIN88 last updated on 28/Jan/21 $$\int \frac{3\sqrt{x}}{x-1}dx?$$ Answered by liberty last updated on 28/Jan/21 $$\mathrm{L}=\int \frac{3\sqrt{\mathrm{x}}}{\mathrm{x}-1}\mathrm{dx};[\mathrm{x}={\mathrm{u}}^2]$$$$\mathrm{L}=\mathrm{6}\int\:\frac{\mathrm{u}^{\mathrm{2}} }{\mathrm{u}^{\mathrm{2}} −\mathrm{1}}\:\mathrm{du}\:=\:\mathrm{6}\int\:\left(\mathrm{1}+\frac{\mathrm{1}}{\mathrm{u}^{\mathrm{2}}…

Question Number 65137 by Tony Lin last updated on 25/Jul/19 $$\int \frac{dx}{{(x-2)}^3{(x+1)}^2}=?$$ Commented by mathmax by abdo last updated on 25/Jul/19 $${let}\:{I}\:=\int\:\:\:\frac{{dx}}{\left({x}−\mathrm{2}\right)^{\mathrm{3}}…