`int (x^3 + 4)/(x^2 + 4) dx` Evaluate the integral

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Integrate `int(x^3+4)/(x^2+4)dx`

Rewrite the given function using long division. 




Integrate the first integral using the pattern `intx^n=x^(n+1)/n+C`



Integrate the second integral using u-substitution.

let `u=x^2+4`






` ` `=-2ln|x^2+4|+C`



Integrate the third integral using the pattern 




The final answer is: 



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