en base a ese calculo, dibuja el centroide

Here is the plot showing the region bounded by the curves \( y = e^x \) and \( y = 2 \). The red dot represents the centroid of this region.

Would you like any further details or have additional questions?

Here are some related questions you might find interesting:

1. How does changing the bounds affect the location of the centroid?
2. What is the physical significance of the centroid in this context?
3. How would you find the centroid if the region was defined by \( y = e^x \) and \( y = x + 1 \)?
4. Can this method be applied to find centroids of 3D shapes?
5. What role does symmetry play in simplifying the calculation of centroids?

**Tip:** When dealing with regions that have symmetry, the centroid often lies along the axis of symmetry, simplifying the calculations.

Explore how to calculate and plot the centroid of a region bounded by the curves y = e^x and y = 2 using integral calculus. This page provides a detailed solution with a plot illustrating the centroid's location. Dive into related questions about changing bounds, physical significance, and more.

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