Using a graph, it can be shown that the approximate $x$-intercepts of the curve $y=2x+3x^4-2x^6$ are located at $x=0$ and $x \approx 1.37.$ Use this information to approximate the area of the region that lies under the curve and above the $x$-axis.

Make sure your answer (based on the estimates given above) is correct to three decimal places.

Area =