Download presentation

Presentation is loading. Please wait.

Published byMarissa Ireson Modified over 2 years ago

1
Created for ENMU Tutoring/Supplemental InstructionPeterson Fall 2011

2
Created for ENMU Tutoring/Supplemental InstructionPeterson Fall 2011

3
Created for ENMU Tutoring/Supplemental InstructionPeterson Fall 2011

4
Created for ENMU Tutoring/Supplemental InstructionPeterson Fall 2011 Arep i = (x i –x i 2 )xixi The area of the rectangle is L x W. The width is the change in the x direction (delta x) and the length is the point on the function y=x to the x-axis minus the point on x 2 to the x-axis. This is shown to the right.

5
Created for ENMU Tutoring/Supplemental InstructionPeterson Fall 2011 Now we need to form the Riemann sum because we are going to fill this area with little rectangle and take the limit as the number approaches infinity. n lim (x –x 2 ) n i=1

6
Created for ENMU Tutoring/Supplemental InstructionPeterson Fall 2011 This defines the integral: A= (x –x 2 ) Now we need to find the limits of integration by setting the two original functions together… x=x 2 …x=1…the first rectangle would set at x=0 and the last would set at x=1.

7
Created for ENMU Tutoring/Supplemental InstructionPeterson Fall 2011 Now integrate and evaluate the integral at the limits of integration. The answer should be 1/6.

Similar presentations

Presentation is loading. Please wait....

OK

Section 8.5 Riemann Sums and the Definite Integral.

Section 8.5 Riemann Sums and the Definite Integral.

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on motion for class 9 download Viewer ppt online training Mp ppt online form 2016 Presentation ppt on motivation of students Ppt on latest technology in computer science Ppt on tamper resistant fasteners Ppt on biodegradable and non biodegradable ppt Ppt on obesity prevention activities Ppt on singular plural for grade 1 Ppt on natural resources of india