   Chapter 4.3, Problem 50E

Chapter
Section
Textbook Problem

# What is wrong with the equation? ∫ − 1 2 4 x 3 d x = − 2 x 2 ] − 1 2 = − 3 2

To determine

To explain:

What is wrong in the given equation.

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, -1x2 is given by

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