# Evaluate the antiderivative as a Taylor Series

## 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, Im not sure I understand the question

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SammyS
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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, Im 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 ?

Ray Vickson
Homework Helper
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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, Im 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:
SammyS
Staff Emeritus