#### To determine

**To evaluate: ∫18x-23dx**

#### Answer

**∫18x-23dx=3**

#### Explanation

**1) Concept:**

i) The Fundamental Theorem of Calculus

ii) Separate out the integration and then use antiderivative of each term

**2) Theorem:**

The Fundamental Theorem of Calculus: Suppose f is continuous on [a, b], then

∫abfxdx=Fb-F(a), where F is antiderivative of f, that is F'=f.

**3) Calculation: **

By using the antiderivative of each term,

∫18x-23dx=x131381

Applying the Fundamental Theorem of Calculus,

=81313-11313

But

81313-11313=231313-113

After simplifying,

213-113=6-3=3

**Conclusion:**

Therefore,∫18x-23dx=3