Category: Integration

Question Number 140687 by mnjuly1970 last updated on 11/May/21 $$$$$$$$$$$$$$$$$$$$ Commented by qaz last updated…

Question Number 9581 by dc630248@gmail.com last updated on 18/Dec/16 $$\int {\sin }^{4}x.{\cos }^{4}xdx$$ Answered by mrW last updated on 18/Dec/16 $$\mathrm{sin}^{\mathrm{4}} {x}.\mathrm{cos}^{\mathrm{4}} {x}=\frac{\mathrm{1}}{\mathrm{16}}\left(\mathrm{2sinxcosx}\right)^{\mathrm{4}} =\frac{\mathrm{1}}{\mathrm{16}}\mathrm{sin}^{\mathrm{4}}…

Question Number 75102 by Rio Michael last updated on 07/Dec/19 $$\mathrm{show}\mathrm{by}\mathrm{integration}\mathrm{that}\mathrm{the}\mathrm{centroid}$$$$\mathrm{of}\mathrm{a}\mathrm{semi}-\mathrm{circular}\mathrm{lamina}\mathrm{of}\mathrm{radius}a$$$$\mathrm{from}\mathrm{the}\mathrm{centre}\mathrm{is}\frac{4a}{3\pi }.$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 75098 by Rio Michael last updated on 07/Dec/19 $$\mathrm{the}\mathrm{function}\mathrm{f}\mathrm{is}\mathrm{defined}\mathrm{by}f\left(x\right)=\frac{2}{x^2-1}$$$$a)\mathrm{Express}\mathrm{f}\mathrm{into}\mathrm{partial}\mathrm{fraction}$$$$\mathrm{b}.\mathrm{show}\mathrm{that}{\int }_3^{5}f\left(x\right)dx=ln\left(\frac{4}{3}\right)$$ Answered by peter frank last…

Question Number 140634 by Mathspace last updated on 10/May/21 $$find{\int }_{-\mathrm{\infty }}^{+\mathrm{\infty }}\frac{cos\left(2sinx\right)}{{(x^2-x+1)}^2}dx$$ Terms of Service Privacy Policy Contact: info@tinkutara.com