Evaluate the antiderivative as a Taylor Series

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Homework Statement



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

Homework Equations



[itex]\frac{f^(n)(a)}{n!}[/itex](x-a)^n

The Attempt at a Solution


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

Answers and Replies

  • #2
SammyS
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Homework Statement



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

Homework Equations



[itex]\frac{f^{(n)}(a)}{n!}(x-a)^n[/itex]

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 ?
 
  • #3
Ray Vickson
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Homework Statement



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

Homework Equations



[itex]\frac{f^(n)(a)}{n!}[/itex](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).
 
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  • #4
SammyS
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This thread has been closed until OP gives an appropriate response.
 

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