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To solve this problem, we need to use the given integral values and apply the properties of definite integrals. The provided information is:

1. \(\int_2^4 f(x) \, dx = -7\),
2. \(\int_2^7 f(x) \, dx = -4\),
3. \(\int_2^7 g(x) \, dx = -8\).

We will analyze the problem step by step for parts (a) through (f). Could you clarify or provide the specific parts (a) through (f) if they are visible in your material? If not, I can guide you based on the typical types of questions that would follow this information.

Would you like me to proceed with assumed questions like finding other integrals, combining functions, or applying the Fundamental Theorem of Calculus? Let me know!

The functions f and g are integrable and ∫₂⁴ f(x) dx = -7, ∫₂⁷ f(x) dx = -4, and ∫₂⁷ g(x) dx = -8. Use these to complete parts (a) through (f).

Learn how to solve problems involving definite integrals using given integral values and the properties of integrals. Includes examples using ∫₂⁴ f(x) dx = -7, ∫₂⁷ f(x) dx = -4, and ∫₂⁷ g(x) dx = -8. Suitable for high school and college students.

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