How do I solve this problem? left Riemann sum, 8 subintervals on [0,8] for area under curve

[lasvegas666]

I'm having trouble comprehending how I can solve this problem on my own.

 

[lasvegas666]

NEVERMIND.

I calculated the answer to be 25.

 

[Otis]

how I can solve this problem on my own.

Draw 8 rectangles under the curve. The heights are determined by the function value on the left side of each curve. Add up the rectangle areas.

Here's a video example.

 

[Otis]

I calculated the answer to be 25.

I got a different answer. Can you post a picture of your work? (Make sure you're using the function value on the left side of each rectangle, to determine its height.)

 

[lasvegas666]

I got a different answer. Can you post a picture of your work? (Make sure you're using the function value on the left side of each rectangle, to determine its height.)

 

[Otis]

Hi lasvegas666. What you did is a right Riemann sum. You need to use the function values on the left side of each rectangle. For example, the function value for the first rectangle is zero on the left, so the first rectangle has zero height and its area is zero.

 

[lasvegas666]

Hi lasvegas666. What you did is a right Riemann sum. You need to use the function values on the left side of each rectangle. For example, the function value on the first rectangle is zero on the left, so the first rectangle has zero height and its area is zero.

I redid the problem and got 18 as my answer.

 

[lasvegas666]

Hi lasvegas666. What you did is a right Riemann sum. You need to use the function values on the left side of each rectangle. For example, the function value for the first rectangle is zero on the left, so the first rectangle has zero height and its area is zero.

Alright, Otis.