Question and Answers Forum

All Questions      Topic List

Integration Questions

Previous in All Question      Next in All Question      

Previous in Integration      Next in Integration      

Question Number 158190 by Odhiambojr last updated on 31/Oct/21

∫((5x^3 −3x^2 +7x−3)/((x^2 +1)^2 ))dx Solve by   first giving the partial functions

$$\int\frac{\mathrm{5}{x}^{\mathrm{3}} −\mathrm{3}{x}^{\mathrm{2}} +\mathrm{7}{x}−\mathrm{3}}{\left({x}^{\mathrm{2}} +\mathrm{1}\right)^{\mathrm{2}} }{dx}\:{Solve}\:{by}\: \\ $$$${first}\:{giving}\:{the}\:{partial}\:{functions}\: \\ $$

Commented by benhamimed last updated on 31/Oct/21

(5/2)ln(x^2 +1)−(1/(x^2 +1))−3tan^(−1) x +C

$$\frac{\mathrm{5}}{\mathrm{2}}{ln}\left({x}^{\mathrm{2}} +\mathrm{1}\right)−\frac{\mathrm{1}}{{x}^{\mathrm{2}} +\mathrm{1}}−\mathrm{3tan}^{−\mathrm{1}} {x}\:+{C} \\ $$$$ \\ $$$$ \\ $$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com