Suppose $\int_{2}^{13} f(x) d x=14$. Find $\int_{2}^{13} 5 f(x) d x$
\[
\int_{2}^{13} 5 f(x) d x=
\]
Final Answer: \(\boxed{70}\)
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: \(\boxed{70}\)