14 integration as a limit?

Question 1

What does the delta x tends to 0 notation mean on a integration as a sum question?

Answer 1

-it means as N tends to infinity delta x tends to 0

Question 2

What must you do when you see sigma notation on a curve that needs to be integrated?

Answer 2

-Integrate this normally between the two limits that are given.

Question 3

How is integration as a limit still accurate?
Why is it better to use more strips?

What is the height and width of each rectangle?

Answer 3

• There is an infinite number of strips.
• The area above the curve will be smaller.
• Height of y and width of delta x