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Taylor series Calculator

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Solved example of Power series

$\int_{a}^{b} e^{\left(-1\right) x^2}dx$
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Use the Taylor series for rewrite the function $e^{-x^2}$ as an approximation: $\displaystyle f(x)=\sum_{n=0}^{\infty}\frac{f^{(n)}(a)}{n!}(x-a)^n$, with $a=0$. Here we will use only the first four terms of the serie

$\int_{a}^{b}\frac{1}{0!}dx$
3

The integral of a constant is equal to the constant times the integral's variable

$\left[x\right]_{a}^{b}$
4

Evaluate the definite integral

$b-a$

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