Evaluate the antiderivative as a Taylor Series

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Homework Help Overview

The problem involves evaluating the antiderivative of the function e^x^2 as a Taylor series. Participants are discussing the interpretation of the integrand and the requirements for formulating a Taylor series.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants express uncertainty about how to begin the problem and question the correct interpretation of the integrand, specifically whether it is e^(x^2) or (e^x)^2. There is also a mention of needing to include an attempt at solving the problem before receiving further assistance.

Discussion Status

The discussion is currently stalled as the original poster has not provided a sufficient response to advance the conversation. Some participants have raised clarifying questions regarding the notation used in the problem.

Contextual Notes

There is an emphasis on the need for clarity in the problem statement and the requirement for the original poster to demonstrate an attempt at solving the problem to facilitate further help.

brojas7
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Homework Statement



Evaluate the anti derivative ∫e^x^2 dx as a Taylor Series

Homework Equations



\frac{f^(n)(a)}{n!}(x-a)^n

The Attempt at a Solution


Where do I start, I am not sure I understand the question
 
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brojas7 said:

Homework Statement



Evaluate the anti derivative ∫e^x^2 dx as a Taylor Series

Homework Equations



\frac{f^{(n)}(a)}{n!}(x-a)^n

The Attempt at a Solution


Where do I start, I am not sure I understand the question
You need to include an attempt at solving the problem, before anyone can help you.

What is the Taylor series for ex ?
 
brojas7 said:

Homework Statement



Evaluate the anti derivative ∫e^x^2 dx as a Taylor Series

Homework Equations



\frac{f^(n)(a)}{n!}(x-a)^n

The Attempt at a Solution


Where do I start, I am not sure I understand the question

What is the integrand? Is e^x^2 supposed to be ##(e^x)^2##, or is it ##e^{x^2}?## If you mean the first one, what you have written is correct (but it would still be better to use parentheses and write (e^x)^2); if you mean the second one it is essential to use parentheses, like this: e^(x^2).
 
Last edited:
This thread has been closed until OP gives an appropriate response.
 

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