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Integration techniques: Evaluate (x2+3x2)dx\int (x^2 + 3x - 2) \, dx using appropriate integration methods.

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Q. Integration techniques: Evaluate (x2+3x2)dx\int (x^2 + 3x - 2) \, dx using appropriate integration methods.
  1. Combine integration results: Now, we combine the results of the integration of each term to get the final result of the indefinite integral:\newline(x2+3x2)dx=13x3+32x22x+C\int(x^2 + 3x - 2) \, dx = \frac{1}{3}x^3 + \frac{3}{2}x^2 - 2x + C\newlineHere, CC represents the constant of integration.