If ∫ₐᵇ f(x) dx = 5 and ∫ₐᵇ g(x) dx = 3, then ∫ₐᵇ (2f(x) − 3g(x)) dx equals:
If ∫ₐᵇ f(x) dx = 5 and ∫ₐᵇ g(x) dx = 3, then ∫ₐᵇ (2f(x) − 3g(x)) dx equals:
- A. 1
- B. 4
- C. 19
- D. −1
Answer: A) 1
Explanation: By linearity: 2∫f − 3∫g = 2×5 − 3×3 = 10 − 9 = 1.
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