The antiderivative of set equal to zero at x = 0 and

Chapter , Problem 6P

(choose chapter or problem)

Get Unlimited Answers! Check out our subscriptions

Questions & Answers


Problem 6P

The antiderivative ofset equal to zero at x = 0 and multiplied by is called the error function, abbreviated erf x:

(a) Show that erf(±∞) = ±1.

(b) Evaluatein terms of erf x.

(c) Use the result of Problem to find an approximate expression for erf x when x ≫ 1.


Evaluate this integral approximately as follows. First, change variables to s = t2, to obtain a simple exponential times something proportional to s−1/2. The integral is dominated by the region near its lower limit, so it makes sense to expand s−1/2



Step 1

a) The error function of x is given by

erf x = e-t^2 dt

erf x from 0 to is given by

erf x = e-x^2 dx

Add to cart

Become a subscriber and get unlimited answers!

Study Tools You Might Need



Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now



Sign up for access to all content on our site!

Or login if you already have an account


Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back