Category: Integration

Question Number 42086 by maxmathsup by imad last updated on 17/Aug/18 $$letf\left(x\right)={\int }_0^2\frac{ch\left(t\right)}{2xsh\left(t\right)+1}dt$$$$1)findasimpleformoff\left(x\right)$$$$2)calculate{\int }_0^2\frac{ch\left(t\right)}{1+sh\left(t\right)}dt$$$$\left.\mathrm{3}\right)\:{calculate}\:\:\int_{\mathrm{0}} ^{\mathrm{2}} \:\:\:\:\frac{{ch}\left({t}\right)}{\mathrm{3}{sh}\left({t}\right)\:+\mathrm{1}}{dt}\:. \…

Question Number 42083 by maxmathsup by imad last updated on 17/Aug/18 $$calculate{\int }_0^1\frac{2x+1}{3+{(1+x)}^3}dx$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 173150 by Frix last updated on 07/Jul/22 $$\mathrm{let}\mathrm{\forall }n\in \mathbb{N}:I_n\left(f\left(x\right)\right)=\mathrm{the}{n}^{\mathrm{th}}\mathrm{antiderivate}$$$$\mathrm{of}f\left(x\right)\mathrm{with}{I}_0=f\left(x\right)$$$$\mathrm{find}\mathrm{the}\mathrm{formula}\mathrm{for}\mathrm{the}\mathrm{constants}{a}_n,b_n\mathrm{of}$$$${I}_{{n}} \left(\mathrm{ln}\:{x}\right)={a}_{{n}} {x}^{{n}} \mathrm{ln}\:{x}\:+{b}_{{n}} {x}^{{n}}…

Question Number 173139 by mnjuly1970 last updated on 07/Jul/22 Answered by Mathspace last updated on 07/Jul/22 $$\mathrm{{\rm Y}}={\int }_0^{\mathrm{\infty }}\frac{dx}{\sqrt{1+x}(x^2+2x+2)}$$$$changement\sqrt{1+x}=tgive$$$${x}={t}^{\mathrm{2}} −\mathrm{1}\:\Rightarrow…

Question Number 42054 by SammyKT last updated on 17/Aug/18 Commented by math khazana by abdo last updated on 17/Aug/18 $$whatsC?Cisnotgiven!$$ Answered by tanmay.chaudhury50@gmail.com…