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Evaluate: int(x^2(x^4+4))/(x^2+4)dx...

Evaluate: `int(x^2(x^4+4))/(x^2+4)dx`

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I=`int(x^2(x^4+4))/(x^2+4)dx`
I=`int(x^6+4x^2)/(x^2+4)dx`
=`int(x^6+4x^4−4x^4−16x^2+20x^2+80−80​)dx/(x^2+4)`
=`int(x^4(x^2+4)−4x^2(x^2+4)+20(x^2+4)−80)dx/(x^2+4)`
=`int ((x^2+4)(x^4−4x^2+20)−80)/(x^2+4)dx`
=`∫(x^4−4x^2+20)dx−80∫1/(x^2+2^2)​dx`
=`x^5/5​−4/3x^3​+20x−40​tan^(−1)(x/2​)+C`
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