Final answer:
An integral expression using sine that equals to 4 is the integral of 2sin(x) from 0 to π.
Step-by-step explanation:
To write an integral expression using sine whose value is 4, we want to find an integral that equals to 4 when evaluated. One of the simplest ways is to use the integral of a constant multiplied by sine over one period where sine oscillates between -1 and +1. Considering the function sin(x), the integral of 2sin(x) from 0 to π equals to 4, since the integral of sin(x) from 0 to π equals to 2. Therefore, the integral expression that satisfies the condition is ∫ 2sin(x) dx from 0 to π.