Category: Relation and Functions

Question Number 148812 by mathmax by abdo last updated on 31/Jul/21 $$\mathrm{find}\int \frac{\mathrm{dx}}{(\sqrt{\mathrm{x}}+\sqrt{\mathrm{x}+1})(\sqrt{\mathrm{x}-1}+\sqrt{\mathrm{x}})}$$ Answered by MJS_new last updated on 31/Jul/21 $$\int \frac{dx}{(\sqrt{x}+\sqrt{x+1})(\sqrt{x}+\sqrt{x-1})}=$$$$=\int\left(\frac{\mathrm{1}}{\left(\sqrt{{x}}+\sqrt{{x}+\mathrm{1}}\right)\left(\sqrt{{x}}+\sqrt{{x}−\mathrm{1}}\right)}×\frac{\left(\sqrt{{x}}−\sqrt{{x}+\mathrm{1}}\right)\left(\sqrt{{x}}−\sqrt{{x}−\mathrm{1}}\right)}{\left(\sqrt{{x}}−\sqrt{{x}+\mathrm{1}}\right)\left(\sqrt{{x}}−\sqrt{{x}−\mathrm{1}}\right)}\right){dx}= \…

Question Number 83254 by mathmax by abdo last updated on 29/Feb/20 $$letf\left(x\right)=arctan(2x-\frac{1}{x})$$$$find{f}^{\left(n\right)}\left(x\right){andf}^{\left(n\right)}\left(1\right)$$ Commented by mathmax by abdo last updated…

Question Number 83214 by mathmax by abdo last updated on 28/Feb/20 $$calculate{U}_n=\sum _{k=0}^n\frac{1}{3k+1}intermsof{H}_n=\sum _{k=1}^n\frac{1}{k}$$ Answered by ~blr237~ last updated…

Question Number 148564 by mathmax by abdo last updated on 29/Jul/21 $$\mathrm{calculate}{\int }_1^2\frac{\mathrm{logx}}{1+\mathrm{x}}\mathrm{dx}$$ Answered by Kamel last updated on 29/Jul/21 $$ \…

Question Number 83020 by mathmax by abdo last updated on 27/Feb/20 $$findthesequence{u}_{n}wichverify{u}_n+u_{n+1}=\frac{sin\left(n\right)}{n}\mathrm{\forall }n>0$$ Terms of Service Privacy Policy Contact: info@tinkutara.com