# Can you integrate #int e^(-x^2 # using integration by parts?

No you can't, answer below give the derivate

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No, the integral of ( e^{-x^2} ) cannot be solved using integration by parts in elementary functions. This integral belongs to a class of functions known as non-elementary functions, meaning it cannot be expressed using standard functions like polynomials, exponentials, logarithms, and trigonometric functions. However, it has a well-known solution involving the error function, which is commonly denoted as ( \text{erf}(x) ).

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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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- Integration by parts for definite integrals?
- How do you integrate #int xe^(-3x)# by integration by parts method?

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