Find the area under the given curve over the indicated interval \[ y=2 x, \quad[3,5] \] The area under the curve is $\square$. (Simplify your answer.)

Step 1 ：The area under a curve y=f(x) from x=a to x=b is given by the definite integral ∫ from a to b f(x) dx.

Step 2 ：In this case, the function is \(y=2x\) and the interval is [3,5].

Step 3 ：So, we need to calculate the definite integral of \(2x\) from 3 to 5.

Step 4 ：The area under the curve \(y=2x\) from \(x=3\) to \(x=5\) is 16.

Step 5 ：Final Answer: The area under the curve is \(\boxed{16}\).