If f is a continuous function such that the integral from 1 to 4 of f of x, dx equals 10, evaluate the integral from 1 to 4 of 2 times f of x, dx

Question

If f is a continuous function such that , evaluate 

10

12 

20 

5

Answer 1

Given: ∫_{(from 1 to 4)} f(x)dx = 10

So, ∫_{(from 1 to 4)} 2f(x)dx = 2∫_{(from 1 to 4)}f(x)dx = 2(10) = 20