Resposta:

Explicação passo a passo:

[tex]\int\limits^1_0 {(x^{2} +2)} \, dx \\\int\limits^1_0 {x^{2}} \, dx +\int\limits^1_0 {2} \, dx \\\\\frac{x^{3} }{3} \left \{ {{1} \atop {0 }} \right +2x\left \{ {{y=1} \atop {x=0}} \right. \\(\frac{1^{3}} {3} - \frac{0^{3}} {3}) + (2*1 - 2*0)\\\frac{1}{3} +2\\\frac{7}{3}[/tex]