### Home > APCALC > Chapter 6 > Lesson 6.5.1 > Problem 6-179

6-179.

Using the Fundamental Theorem of Calculus, what is

This expression is NOT equal to *e*^{(}^{x}^{4)} − *e*^{(3}^{x}^{)2}.

Explain why not.

If you did not know about the Fundamental Theorem of Calculus,

you would probably evaluate this expression by doing the following steps:

Step 1: Integrate.

Step 2: Differentiate.

As a result of step 1, you would have substituted *x*^{2} and 3*x* into the antiderivative, creating composite functions...

so when you got to step 2, you would have to use the Chain Rule.

2*xe*^{(}^{x}^{4)} − 3*e*^{(3}^{x}^{)2}

Notice that the Chain Rule was applied to each bound.