Category: Integration

Question Number 69784 by mathmax by abdo last updated on 27/Sep/19 $$calculatef\left(a\right)={\int }_0^{\mathrm{\infty }}{e}^{-(x^2+\frac{a}{x^2})}dxwitha>0$$ Terms of Service Privacy Policy Contact:…

Question Number 135259 by leena12345 last updated on 11/Mar/21 $$\int (x^2+3x)\cos \left(x\right)dx$$ Answered by Ar Brandon last updated on 11/Mar/21 $$\mathcal{I}=\int ({\mathrm{x}}^2+3\mathrm{x})\mathrm{cosxdx}$$$$\:\:\:=\left(\mathrm{x}^{\mathrm{2}}…

Question Number 69692 by Ajao yinka last updated on 26/Sep/19 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 4140 by prakash jain last updated on 29/Dec/15 $$\mathrm{Four}\mathrm{persons}\mathrm{a},\mathrm{b},\mathrm{c},\mathrm{d}\mathrm{are}\mathrm{standing}\mathrm{at}\mathrm{four}$$$$\mathrm{vertices}\mathrm{of}\mathrm{square}\mathrm{ABCD}.$$$$\mathrm{All}\mathrm{four}\mathrm{start}\mathrm{moving}\mathrm{simultaneously}\mathrm{such}$$$$\mathbf{a}\mathrm{is}\mathrm{always}\mathrm{moving}\mathrm{towards}\mathbf{b}\mathrm{on}\mathrm{a}\mathrm{straight}$$$$\mathrm{line}\mathrm{between}\mathbf{a}\mathrm{and}\mathbf{b}.\mathrm{Similary}\mathbf{b}\mathrm{is}\mathrm{always}$$$$\mathrm{moving}\mathrm{directly}\mathrm{towards}\mathbf{c},\mathbf{c}\mathrm{is}\mathrm{directly}$$$$\mathrm{moving}\mathrm{towards}\mathbf{d}\mathrm{and}\mathbf{d}\mathrm{is}\mathrm{directly}\mathrm{moving}$$$$\mathrm{towards}\:\boldsymbol{\mathrm{a}}.…

Question Number 4133 by prakash jain last updated on 29/Dec/15 $$\mathrm{What}\mathrm{are}\mathrm{the}\mathrm{neccesary}\mathrm{and}\mathrm{sufficient}$$$$\mathrm{conditions}\mathrm{so}\mathrm{that}$$$${\int }_{-\mathrm{\infty }}^{+\mathrm{\infty }}\left[\underset{n=0}{\sum ^{\mathrm{\infty }}}f(n,x)\right]dx=\underset{n=0}{\sum ^{\mathrm{\infty }}}\left[{\int }_{-\mathrm{\infty }}^{+\mathrm{\infty }}f(n,x)dx\right]$$…