Indefinite Integral – A rational function – Exercise 1383

Exercise

Evaluate the integral

x2+4xx+2dx\int \frac{x^2+4x}{x+2} dx

Final Answer


x2+4xx+2dx=x22+2x4lnx+2+c\int \frac{x^2+4x}{x+2} dx =\frac{x^2}{2} + 2x -4\ln|x+2|+c

Solution

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