Which of the following is solution of the integral ∫(2x² + e^x) dx?

Given:

Integral to solve = ∫(2x² + e^x) dx

Concept used:

To solve the integral of a sum of functions, we can integrate each term separately.

Calculation:
  
⇒ ∫(2x² + e^x) dx = ∫2x² dx + ∫e^x dx

⇒ ∫2x² dx = (2/3)x³ + C (where C is the constant of integration).

⇒ ∫e^x dx = e^x + C 

⇒ ∫(2x² + e^x) dx = (2/3)x³ + e^x + C

∴ The solution to the integral ∫(2x² + e^x) dx is (2/3)x³ + e^x + C.