Olá
[tex]\green{ \mathbf{ \int\left( \frac{2x {}^{4} - 4x {}^{3} + 2x {}^{2} }{x {}^{2} } \right)} \cdot \: dx} \\ \green{ \mathbf{ \frac{2x {}^{4} }{x {}^{2} } - \frac{4x {}^{3} }{x {}^{2} } + \frac{2x {}^{2} }{x {}^{2} } }} \\ \green
{ \mathbf{ \int\frac{2x {}^{4} }{x {}^{2} } \cdot \: dx- \int\frac{4x {}^{3} }{x {}^{2} } \cdot \: dx + \int \frac{2x {}^{2} }{x {}^{2} } \cdot \: dx }} \\ \green{ \mathbf{ \frac{2x {}^{3} }{3} - 2x {}^{2} + 2x }} \\ \green{\boxed{\red{ \mathbf{ \frac{2x {}^{3} }{3} - 2x {}^{2} + 2x + C }}}}[/tex]
