Suppose $\int_{2}^{13} f(x) d x=14$. Find $\int_{2}^{13} 5 f(x) d x$ \[ \int_{2}^{13} 5 f(x) d x= \]

Step 1 ：Given that \(\int_{2}^{13} f(x) d x=14\)

Step 2 ：We need to find \(\int_{2}^{13} 5 f(x) d x\)

Step 3 ：Since the integral of a constant times a function is the constant times the integral of the function, we can simply multiply the given integral by 5 to find the answer

Step 4 ：Let the constant be 5 and the integral of the function f(x) from 2 to 13 be 14

Step 5 ：So, \(\int_{2}^{13} 5 f(x) d x = 5 \times 14 = 70\)

Step 6 ：Final Answer: \(\boxed{70}\)