×
Get Full Access to An Introduction To Thermal Physics - 1 Edition - Chapter B - Problem 6p
Get Full Access to An Introduction To Thermal Physics - 1 Edition - Chapter B - Problem 6p

×

# The antiderivative of set equal to zero at x = 0 and ISBN: 9780201380279 40

## Solution for problem 6P Chapter B

An Introduction to Thermal Physics | 1st Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants An Introduction to Thermal Physics | 1st Edition

4 5 1 419 Reviews
28
1
Problem 6P

Problem 6P

The antiderivative of set equal to zero at x = 0 and multiplied by is called the error function, abbreviated erf x: (a) Show that erf(±∞) = ±1.

(b) Evaluate in terms of erf x.

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

Problem:

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-by-Step Solution:

Solution

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

Step 2 of 5

Step 3 of 5

## Discover and learn what students are asking

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

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