Origin does not directly calculate the error of integration for peak areas. However, there are alternative ways to estimate the error.

Here's one way you might be able to do it:

It's important to note that the above methods are approximations and do not replace a rigorous error analysis. If you require a precise error calculation, using a software package designed for scientific data analysis that includes error propagation or writing a custom script or program may be necessary.

If you want to perform this more sophisticatedly, you might want to consider using Monte Carlo simulation or bootstrapping to estimate the error in your integration. This requires coding and statistical knowledge and may not be feasible for every situation.

Finally, it's essential to understand that the integration error would generally depend on several factors, such as the signal-to-noise ratio, the number of data points you are integrating, and the algorithm used for integration.