Category: Integration

Question Number 171253 by vonem1 last updated on 11/Jun/22 Answered by haladu last updated on 11/Jun/22 $$8{\int }_1^4{\mathbf{t}}^{-\frac{1}{2}}\mathbf{dt}-12\int {\mathbf{t}}^{\frac{3}{2}}\mathbf{dt}$$$$$$$$\:\:\mathrm{8}\:\:\:\frac{\boldsymbol{\mathrm{t}}^{−\frac{\mathrm{1}}{\mathrm{2}}\:+\mathrm{1}}…

Question Number 40161 by maxmathsup by imad last updated on 16/Jul/18 $$studytheconvergenceof{\int }_0^{\mathrm{\infty }}\frac{sin\left(\frac{1}{x^2}\right)}{ln(1+\sqrt{x})}dx$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 40158 by maxmathsup by imad last updated on 16/Jul/18 $$let{A}_n={\int }_0^1\frac{x^{2n+1}ln\left(x\right)}{x^2-1}dx$$$$1)justifytheexistenceof{A}_n$$$$2)calculate{A}_{n+1}-A_n$$$$\left.\mathrm{3}\left.\right)\:{prove}\:{that}\:\:{x}\in\right]\mathrm{0},\mathrm{1}\left[\:\Rightarrow\mathrm{0}<\frac{{xln}\left({x}\right)}{{x}^{\mathrm{2}} \:−\mathrm{1}}<\frac{\mathrm{1}}{\mathrm{2}}\:\:\right.…

Question Number 40157 by maxmathsup by imad last updated on 16/Jul/18 $$findthevalueof{\int }_{-\mathrm{\infty }}^{+\mathrm{\infty }}\frac{dt}{{(t^2-2t+2)}^{\frac{3}{2}}}$$ Commented by maxmathsup by imad last updated…

Question Number 40155 by maxmathsup by imad last updated on 16/Jul/18 $$caoculate{\int }_0^{\mathrm{\infty }}\frac{tdt}{{(1+t^4)}^2}$$ Commented by maxmathsup by imad last updated…