Question

what is the taylor series polynomial for the integral of e^x^2 when a=0?

Answer 1

Can you write one for \(e^{x}\)? You'll be almost done!

Answer 2

if he knew the basic tayler series poly he can just replace the e^x with the function given?

Answer 3

i get the e^x part (1+x+x^2/2...x^n/n!) and i would get substituting x^2 in, but what about the integral part?

Answer 4

oh.. I took this class SUmmer term. I have forgotten so much!

Answer 5

the series when a=0 should be:
x+x^3/3+x^5/10...

Answer 6

the integral part is just a trick with the question. the question is saying to find polynomial expression for the function that is integral of e^x^2.

Answer 7

so therefore, when you want to find the expression for x, you use e^x^2 as your function instead of d/dx of e^x^2

Answer 8

subsequently if you want to find the expression for x^2, you use d/dx of e^x^2, for x^3 use d2/dx of e^x^2... so on

Answer 9

the introduction of integral in the question will make you decrease the derivative order by 1 for the expression, since integrating a function = derivative of the integrated function.