Category: Integration

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

Question Number 92772 by Power last updated on 09/May/20 Commented by mathmax by abdo last updated on 09/May/20 $${A}\:=\int_{\mathrm{0}} ^{\mathrm{6}} \:\left[{x}\right]\:{sin}\left(\frac{\pi{x}}{\mathrm{6}}\right){dx}\:\Rightarrow\:{A}\:=\sum_{{k}=\mathrm{0}} ^{\mathrm{5}} \:\int_{{k}} ^{{k}+\mathrm{1}} \:{k}\:{sin}\left(\frac{\pi{x}}{\mathrm{6}}\right){dx}…

Question Number 27215 by abdo imad last updated on 03/Jan/18 $$findthevalueof{\int }_{-1}^1\frac{dx}{\sqrt{1-x^2}+\sqrt{1+x^2}}.$$ Answered by Giannibo last updated on 03/Jan/18 $$…