Given that $\int_{5}^{7} f(x) d x=\frac{20}{7}$, what is $\int_{7}^{5} f(w) d w$ ? answer =

Step 1 ：Given that \(\int_{5}^{7} f(x) d x=\frac{20}{7}\)

Step 2 ：The integral of a function from a to b is the negative of the integral from b to a. This is a property of definite integrals.

Step 3 ：Therefore, the integral of f(w) from 7 to 5 is the negative of the integral of f(x) from 5 to 7.

Step 4 ：The final answer is the negative of the given integral value, which is -20/7.

Step 5 ：Final Answer: The integral of f(w) from 7 to 5 is \(\boxed{-\frac{20}{7}}\)