# How do you integrate # e^(x^2)# from 0 to 1?

So the best we can do is use a Maclaurin series approximation.

Recall that

Thus

Now you integrate

Hopefully this helps!

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To integrate ( e^{x^2} ) from 0 to 1, you would typically use numerical methods because the antiderivative of ( e^{x^2} ) cannot be expressed in terms of elementary functions. One common numerical method is the Gaussian Quadrature method, where you approximate the integral using weighted sums of function evaluations at specific points within the integration interval.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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