Learn how to evaluate the definite integral of absolute value by graphing

The video tutorial discusses the limitations of using antiderivative rules in certain cases and suggests sketching the absolute value graph instead. It explains how to calculate the areas of triangles using base and height, and how these areas can be used to find the definite integral of a function. The tutorial emphasizes understanding the properties of graphs and applying geometric concepts to solve integration problems.

Why can't the antiderivative method be applied in the discussed scenario?

• There are no rules for the anti drive.

• The function is not continuous.

• The graph is not differentiable.

• The slope is undefined.

What is the slope of the graph discussed in the video?

• Five to one

• Three to one

• Two to one

• One to one

How is the area of a triangle calculated?

• 1/3 base times height

• Base times height

• Base plus height

• 1/2 base times height

What is the area of the left triangle in the graph?

• 34 halves

• 17

• 25 halves

• 9 halves

What is the result of the definite integral of the absolute value function from -3 to 5?

• 34 halves

• 17

• 9 halves

• 25 halves