the functions f and g are integrable and ∫₂⁴f(x)dx = - 7, ∫₂⁷f(x)dx = - 4, and ∫₂⁷g(x)dx = 4. use these to…

the functions f and g are integrable and ∫₂⁴f(x)dx = - 7, ∫₂⁷f(x)dx = - 4, and ∫₂⁷g(x)dx = 4. use these to complete parts (a) through (f). a. ∫₄⁴f(x)dx = (simplify your answer.)
Answer
Explanation:
Step1: Recall definite - integral property
For any definite integral $\int_{a}^{a}f(x)dx$, by the fundamental theorem of calculus, the integral over an interval of length zero is zero. $$\int_{4}^{4}f(x)dx = 0$$
Answer:
0