Another Fundamental Theorem of Calculus problem

**McDiesel** · November 17th 2008, 03:20 PM

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

$\int_{-8}^ {6} f(x)= 2+e^x$

**Plato** · November 17th 2008, 03:30 PM

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.

Originally Posted by McDiesel

$\int_{-8}^ {6} f(x)= 2+e^x$

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

Are you sure that you have given all the information?

**McDiesel** · November 17th 2008, 04:02 PM

I'm sorry,

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

**Mathstud28** · November 17th 2008, 04:03 PM

Originally Posted by McDiesel

I'm sorry,

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

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

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

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