If ∫[0 to 1] f(x) dx = 5 and ∫[0 to 1] g(x) dx = 2, find ∫[0 to 1] [3f(x) - 2g(x)] dx. A. 15 B. 11 C. 10 D. 19 Answer: B) 11 Explanation: Using the linearity property: 3∫f(x)dx - 2∫g(x)dx = 3(5) - 2(2) = 15 - 4 = 11.

imo class 12 definite integration

If ∫[0 to 1] f(x) dx = 5 and ∫[0 to 1] g(x) dx = 2, find ∫[0 to 1] [3f(x) - 2g(x)] dx.

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If ∫[0 to 1] f(x) dx = 5 and ∫[0 to 1] g(x) dx = 2, find ∫[0 to 1] [3f(x) - 2g(x)] dx.

Answer: B) 11

Explanation: Using the linearity property: 3∫f(x)dx - 2∫g(x)dx = 3(5) - 2(2) = 15 - 4 = 11.