Step 1: Identify the function you want to integrate, which is f(x) = 2x + 3.
Step 2: Write down the integral you need to solve: ∫(2x + 3)dx.
Step 3: Integrate each term separately. The integral of 2x is x^2 (because you add 1 to the exponent and divide by the new exponent).
Step 4: The integral of 3 is 3x (because the integral of a constant is the constant multiplied by x).
Step 5: Combine the results from Step 3 and Step 4: x^2 + 3x.
Step 6: Add the constant of integration, C, to the result: x^2 + 3x + C.
Step 7: Write the final answer: ∫(2x + 3)dx = x^2 + 3x + C.
Integration of Polynomials – The question tests the ability to integrate a polynomial function, specifically applying the power rule for integration.
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