Question

Let f be continuous periodic function with period 3, such that `int_0^3f(x)dx` = 1. Then the value of `int_-4^8f(2x)dx` is ______.

Options

• 3.00

• 4.00

• 5.00

• 6.00

Answer 1

Let f be continuous periodic function with period 3, such that `int_0^3f(x)dx` = 1. Then the value of `int_-4^8f(2x)dx` is 4.00.

Explanation:

2x = u

⇒ I = `1/2int_-8^16f(u)du`

⇒ I = `8/2.int_0^3f(u)du` = 4