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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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