Posted by **Will** on Tuesday, January 26, 2010 at 12:13am.

Calculate he average over the given interval: f(x)=e^(-n*x), [-1,1].

I know that the average value = (1/b-a)integrate from a to b f(x)dx

- calculus -
**drwls**, Tuesday, January 26, 2010 at 12:31am
You have stated the definition of the average value correctly. All you have to do is perform the integration and divide the integral by the integration interval, 2.

The indefinite integral of e^(-nx) is (-1/n)*e^(-nx).

The definite integral from -1 to 1 is

(-1/n)[e^-n - e^n]

Divide that by 2 for the average value.

Check my math. I am often sloppy.

- calculus -
**Will**, Tuesday, January 26, 2010 at 12:45am
thanks, but can we leave it in that form?

- calculus -
**drwls**, Tuesday, January 26, 2010 at 10:03am
You can convert my answer to a hyperbolic sine of n, divided by 2, if you wish.

- calculus -
**drwls**, Tuesday, January 26, 2010 at 10:03am
I meant "divided by n", not 2

- calculus -
**Will**, Tuesday, January 26, 2010 at 7:06pm
What is hyperbolic sin of n? Never heard of that.

## Answer This Question

## Related Questions

- Calculus - I'm supposed to find the average value of the function over the given...
- physics - In this problem you will determine the average velocity of a moving ...
- Math - Find the average value of the function over the given interval and all ...
- Calculus - a)Find the average value of f(x) = e-x over the interval [0,k] b)What...
- College Calculus - Calculate the average over the given interval. f(x)=sin(pi/x...
- Calculus - Find the average value over the given interval. y=3x^5; [-3,3] I can'...
- Calculus - The function f is given by f(x)=3x^2+1. What is the average value of ...
- Brief Calculus - Calculate the average rate of change of the given function ...
- Calculus - Find the average value of the function over [1,3] and all values of x...
- calculus - Let g(x)=f(2x). Show that the average value of f on the interval [0,...

More Related Questions