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Question:

Solve: ∫(3x² + 2x - 1)dx

Solution:

∫(3x² + 2x - 1)dx

= 3∫x²dx + 2∫xdx - ∫1dx

= 3(x³/3) + 2(x²/2) - x + C

= x³ + x² - x + C

Explanation:

1.Split the integral into separate terms

2.Apply power rule: ∫xⁿdx = x^(n+1)/(n+1)

3.Simplify coefficients and add constant C

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