Category: Integration

Question Number 151426 by peter frank last updated on 21/Aug/21 $$\mathrm{Express}\frac{1}{5\times 9}\mathrm{in}\mathrm{partial}\mathrm{fraction}$$ Answered by liberty last updated on 21/Aug/21 $$\frac{1}{\mathrm{n}(\mathrm{n}+4)}=\frac{\mathrm{a}}{\mathrm{n}}+\frac{\mathrm{b}}{\mathrm{n}+4}$$$$\mathrm{a}=\:\left[\frac{\mathrm{1}}{\mathrm{n}+\mathrm{4}}\:\right]_{\mathrm{n}=\mathrm{0}} =\frac{\mathrm{1}}{\mathrm{4}} \…

Question Number 85875 by sakeefhasan05@gmail.com last updated on 25/Mar/20 $$\int \left(\frac{1}{7[1-\frac{1}{7}{\mathrm{e}}^{\mathrm{x}}]}\right)\mathrm{dx}$$ Answered by TANMAY PANACEA. last updated on 25/Mar/20 $$\frac{\mathrm{1}}{\mathrm{7}}\int\frac{{e}^{−{x}} {dx}}{{e}^{−{x}} −\frac{\mathrm{1}}{\mathrm{7}}}\:\left(\boldsymbol{{multiply}}\:\boldsymbol{{N}}_{{r}} {and}\:{D}_{{r}}…

Question Number 20309 by NECC last updated on 25/Aug/17 $$\int x^{x}dx$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 151374 by mnjuly1970 last updated on 20/Aug/21 $$$$$$\mathrm{\Omega }={\int }_0^{\mathrm{\infty }}\frac{ln\left(\frac{1}{x}\right)}{1+e^{2x}}dx\stackrel{?}{=}\frac{3}{2}{ln}^2\left(2\right)$$$$m.n$$ Terms of Service Privacy…

Question Number 20293 by tammi last updated on 25/Aug/17 $$\int \sqrt{\frac{a+x}{x}dx}$$ Answered by $@ty@mlastupdatedon25/Aug/17$$=\int \frac{a+x}{\sqrt{x(a+x)}}dx$$$\$=\int \frac{a+x}{\sqrt{ax+x^2}}dx$$$$=\frac{\mathrm{1}}{\mathrm{2}}\int\frac{\mathrm{2}{x}+{a}+{a}}{\:\sqrt{{ax}+{x}^{\mathrm{2}}…