Answer:
[tex]\frac{x^6}{3} +\frac{2x^3}{3} +5x+C[/tex]
which agrees with the second answer in your list
Step-by-step explanation:
[tex]\int {2x^5+2x^2+5} \, dx =\frac{2x^6}{6} +\frac{2x^3}{3} +5x+C=\frac{x^6}{3} +\frac{2x^3}{3} +5x+C[/tex]
