Which of the following areas are equal?

A. The area under the curve $\displaystyle y=2xe^{x},\quad 0 \le x \le 1.$
B. The area under the curve $\displaystyle y=e^{\sin(x)}\sin(2x),\quad 0 \le x \le \pi/2.$
C. The area under the curve $\displaystyle y=e^{\sqrt{x}},\quad 0 \le x \le 1.$