Download presentation

1
**Section 15.3 Area and Definite Integral**

2
Area Estimation How can we estimate the area bounded by the curve y = x2, the lines x = 1 and x = 3, and the x-axis? We will use 4 rectangles to approximate the area. Question How can we improve our estimation?

3
**Definition of the Area of a Region**

The area of the region bounded by the graph of f(x), the x-axis, the vertical lines x = a and x = b is where ci is the endpoint of the ith interval, and

4
**The Definite Integral The definite integral of f from a to b is**

where a is called lower limit, b is called upper limit, If f(x) is above the x-axis, then the definite integral of f (x) from a to b represents the area of the region bounded by the graph of f(x), the x-axis , the vertical lines x = a and x = b.

5
Examples Evaluate the integrals by interpreting in terms of area.

Similar presentations

© 2023 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google