# How do you find the antiderivative of #e^(-2x^2)#?

It doesn't have one, unless you allow the use of the error function

By signing up, you agree to our Terms of Service and Privacy Policy

To find the antiderivative of ( e^{-2x^2} ), you can use techniques like substitution or integration by parts. However, there isn't a simple closed-form expression for the antiderivative of this function using elementary functions. It involves special functions such as the error function. So, the antiderivative would be expressed as ( \frac{\sqrt{\pi}}{2\sqrt{2}} \text{erf}(x\sqrt{2}) + C ), where ( \text{erf}(x) ) is the error function and ( C ) is the constant of integration.

By signing up, you agree to our Terms of Service and Privacy Policy

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.

- How do you find the antiderivative of #dx/(cos(x) - 1)#?
- How do you find the integral of #x(sinx)^2#?
- How do you use the second fundamental theorem of Calculus to find the derivative of given #int [(ln(t)^(2))/t]dt# from #[3,x]#?
- How do you find the definite integral for: #(2-x^2)dx# for the intervals [2,-1]?
- How do you integrate #int 3 dt#?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7