# Another Fundamental Theorem of Calculus problem

• Nov 17th 2008, 03:20 PM
McDiesel
Another Fundamental Theorem of Calculus problem
Does anyone know how to start or do this problem. I don't have an example in my book of it.

$\displaystyle \int_{-8}^ {6} f(x)= 2+e^x$
• Nov 17th 2008, 03:30 PM
Plato
Quote:

Originally Posted by McDiesel
Does anyone know how to start or do this problem. I don't have an example in my book of it.

Quote:

Originally Posted by McDiesel
$\displaystyle \int_{-8}^ {6} f(x)= 2+e^x$

That is a nonsense problem. That is, it show the confusion of whom so ever wrote it
$\displaystyle \int_{-8}^ {6} f(x)$ is a definite integral, a number!
Whereas $\displaystyle 2+e^x$ is a function of x.

Are you sure that you have given all the information?
• Nov 17th 2008, 04:02 PM
McDiesel
I'm sorry,

Use a definite integral to find the area between $\displaystyle f(x)= 2+e^x$ and the x-axis over the integral [-8,6]
• Nov 17th 2008, 04:03 PM
Mathstud28
Quote:

Originally Posted by McDiesel
I'm sorry,

Use a definite integral to find the area between $\displaystyle f(x)= 2+e^x$ and the x-axis over the integral [-8,6]

This is very simple since $\displaystyle \forall{x}\in\mathbb{R}~2+e^x>0$

So $\displaystyle \text{Area}=\int_{-8}^{6}2+e^xdx$