There are two methods to take d/dx [ ∫(adsbygoogle = window.adsbygoogle || []).push({}); _{t=0}^{x}exp(-t^2) dt].

First method: using the relationship of integral and antiderivative, one gets

(exp(-t^2) , from t = 0 to x, so exp(-x^2) - 1.

Second method: the integral is (1/2)sqrt(pi)*erf(t) from 0 to x, which is (1/2)sqrt(pi)*erf(x), and the derivative of this is exp(-x^2).

So, which answer is correct, and what is wrong with the other method?

(Wolfram alpha favors the second answer, but I have another source that favors the first answer.)

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# D/dx[int(0,x) e^(-t^2) dt] : two methods, two answers

Loading...

Similar Threads for methods answers |
---|

B Methods of integration: direct and indirect substitution |

A Integral equations -- Picard method of succesive approximation |

I Partial derivatives method |

**Physics Forums | Science Articles, Homework Help, Discussion**