The area of the shaded region under the curve y = 2 sin 2x in (a) equals the area of the shaded region under the curve y = sin x in (b). Explain why this is true without - 2 sin 2x 2- computing areas. y - SID X Why do both regions have the same area? Choose the correct answer below. O A. The area under a sine wave is always 2. Therefore, both curves have the same area. O B. When the change of variables u = 2x is applied to the definite integral 2 sin 2x dx, the new integral evaluates to the same value as sin x dx from 0 to It. O C. When the chain rule u = 2x is applied to the indefinite integral 2 sin 2x dx, the new integral evaluates to the same value as sin x dx from 0 to it.. O D. When the change of variables u = 2x is applied to the definite integral sin x dx, the new integral evaluates to the same value as 2 sin 2x dx, from 0 to it