Evaluate ∫(3x² + 2x - 5) dx
Ax³ + x² - 5x + CCORRECT
B6x + 2 + C
Cx³ + x² + C
D3x³ + x² - 5x + C
GCEFurther MathematicsIntegration2021
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Why the answer is A, and why the others tempt you.
Integrating term by term: ∫3x² dx = x³, ∫2x dx = x², ∫-5 dx = -5x, plus constant C. This gives x³ + x² - 5x + C. Option B is the derivative, not the integral.
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