# Integral of the Error Function | Summary and Q&A

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September 28, 2018
by
blackpenredpen
Integral of the Error Function

## TL;DR

The video discusses the integration of the error function, providing step-by-step instructions and formulas for calculating the integral.

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### Q: What is the formula for the error function?

The error function, ER f of X, is defined as 2 over square root of pi times the integral from 0 to X of e to the negative T squared DT.

### Q: How can the integral of the error function be obtained?

The integral of the error function can be obtained by differentiating the function, resulting in x times ER f of X.

### Q: What is the second integral in the solution?

The second integral, known as the minor, is still an integral with the equation 2 over the square root of pi times e to the negative x squared DX.

### Q: How is the final result derived?

By using the integration by parts method, the initial integral is modified, resulting in two parts: x times ER f of X and the minor integral.

## Summary & Key Takeaways

• The video explains the formula for the error function and its integral.

• The integration of the error function is demonstrated using the integration by parts method.

• The final result is derived and explained, showing the relationship between the error function and its integral.