Category: Integration

Question Number 27282 by hp killer last updated on 04/Jan/18 $$\int log(2+x^2)dx$$ Commented by abdo imad last updated on 04/Jan/18 $${if}\:{you}\:{mean}\:{ln}\:{integrate}\:{par}\:{parts}\:{u}^{'} =\mathrm{1}\:{and}\:{v}={ln}\left(\mathrm{2}+{x}^{\mathrm{2}} \right)…

Question Number 92805 by niroj last updated on 09/May/20 $$\mathrm{Evaluate}:$$$${\int }_{\mathbf{R}}\int \frac{\mathbf{xy}}{\sqrt{1-{\mathbf{y}}^2}}\mathbf{dx}\mathbf{dy}\mathrm{where}\mathrm{the}\mathrm{region}\mathrm{of}\mathrm{integration}\mathrm{is}\mathrm{the}$$$$\mathrm{positive}\mathrm{quadrant}\mathrm{of}\mathrm{the}\mathrm{circle}{\mathbf{x}}^2+{\mathbf{y}}^2=1.$$$$$$ Answered by mr…

Question Number 158333 by amin96 last updated on 02/Nov/21 $${\int }_{(1;\pi )}^{(2;\pi )}(1-\frac{{\mathbf{y}}^2}{{\mathbf{x}}^2}\mathbf{cos}\left(\frac{\mathbf{y}}{\mathbf{x}}\right))\mathbf{dx}+(\mathbf{sin}\left(\frac{\mathbf{y}}{\mathbf{x}}\right)+\frac{\mathbf{y}}{\mathbf{x}}\mathbf{cos}\left(\frac{\mathbf{y}}{\mathbf{x}}\right))\mathbf{dy}=?$$$$\mathbf{OY}\mathbf{on}\mathbf{the}\mathbf{road}\mathbf{that}{\mathbf{doesn}}^{\prime }\mathbf{t}\mathbf{cut}\mathbf{your}\mathbf{arrow}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 92799 by Ar Brandon last updated on 09/May/20 $$\mathrm{Show}\mathrm{that}\mathrm{the}\mathrm{function}\mathrm{x}\to {\mathrm{x}}^3\mathrm{is}$$$$\mathrm{of}\mathrm{Riemann}\mathrm{within}\mathrm{the}\mathrm{interval}[-1,2]$$$$\mathrm{then}\mathrm{calculate}{\int }_{-1}^2{\mathrm{x}}^2\mathrm{dx}$$ Commented by mathmax by…

Question Number 92790 by  M±th+et+s last updated on 09/May/20 $${\int }_0^1(\frac{\pi }{4}-{tan}^{-1}\left(x\right))\frac{dx}{1-x^2}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com