Mathematics

Evaluate $$\displaystyle\int \dfrac {x^3+4x^2+9x}{x^2+4x+9} dx$$


SOLUTION
$$\displaystyle\int \dfrac {x^3+4x^2+9x}{x^2+4x+9} dx\\\displaystyle \int \dfrac{x(x^2+4x+9)}{x^2+4x+9}dx\\\displaystyle \int x dx\\\dfrac{x^2}{2}+c$$
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Subjective Medium Published on 17th 09, 2020
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