#### To determine

**To explain:**

What is wrong in the given equation.

#### Answer

∫-124x3 dx is incorrect, since ∫-124x3 dx does not exist

#### Explanation

**1) Concept:**

Use the fundamental theorem of calculus part 2 to explain the wrong in given equation.

**2) Fundamental theorem of Calculus, Part **2

If f is continuous on a,b, then

∫abfxdx=Fb-F(a)

where F is any antiderivative of f, that is, a function F such that F'=f

**2) Given:**

∫-124x3 dx=-2x2]2-1=32

**3) Calculation:**

The graph of function fx=4x3, -1≤x≤2 is given by

The function fx=4x3 is not continuous on -1,2

So, the Fundamental theorem of Calculus, Part 2 cannot be applied. So expressing the integral as

∫-124x3 dx=F2-F-1 using anti-derivatives is wrong. Moreover since the function shoots up the definite integral doesn’t exist.

**Conclusion:**

∫-124x3 dx does not exist, therefore the given equation is wrong.