Category: Integration

Question Number 145635 by mathmax by abdo last updated on 06/Jul/21 $$\mathrm{calculate}{\int }_0^{\mathrm{\infty }}\frac{\arctan \left({3\mathrm{x}}^2\right)}{1+{\mathrm{x}}^2}\mathrm{dx}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 14523 by 1kanika# last updated on 01/Jun/17 Answered by linkelly0615 last updated on 01/Jun/17 $$setdV=dxdydz$$$$Origin=\int \int {\int }_{{[0,1)}^3}(0+0+0)dV=0$$ Commented by…

Question Number 80052 by john santu last updated on 30/Jan/20 $$\int {\mathrm{e}}^{\sin 2\mathrm{x}}.\cos \mathrm{x}\mathrm{dx}=$$$$$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 145549 by physicstutes last updated on 05/Jul/21 $$\mathrm{Find}\mathrm{the}\mathrm{equation}\mathrm{of}\mathrm{the}\mathrm{asymptotes}\mathrm{to}\mathrm{the}\mathrm{curve}$$$$y=f\left(x\right)\mathrm{where}f\left(x\right)=\ln \left(\frac{x+3}{x-1}\right).$$ Answered by gsk2684 last updated on 06/Jul/21 $$\mathrm{function}\mathrm{is}\mathrm{defined}\mathrm{only}\mathrm{if}$$$$\mathrm{0}<\frac{\mathrm{x}+\mathrm{3}}{\mathrm{x}−\mathrm{1}}\Rightarrow\mathrm{0}<\left(\mathrm{x}+\mathrm{3}\right)\left(\mathrm{x}−\mathrm{1}\right) \…

Question Number 145547 by physicstutes last updated on 05/Jul/21 $$I_{m,n}={\int }_0^1{(1-x^m)}^{n}dx$$$$\mathrm{Show}\mathrm{that}{I}_{m,n}(mn+1)=I_{m,n-1}$$ Answered by qaz last updated…