Important announcement

Dear visitor,

Please note that this OpenCourseWare platform will be replaced at the end of 2026 by a new platform (under the same url ocw.tudelft.nl).

Courses and their contents that are currently available the platform will partly be migrated. URL’s for this content will change and content might be unavailable for some time. In addition, some courses will not be available anymore.

If you are linking to specific courses on this platform (for instance for your students), please take timely measures to avoid problems with access. Possible actions are:

  • Download the materials to your local platform (laptop, server)
  • For educators only (including TU Delft lecturers): Contact us at ocw@tudelft.nl and inform us what course you are using in what context (institute, program, period of use, number of students). We will research (in collaboration with the authors of the course) and decide if we will migrate the course, and if yes, can supply you with a new url.

Thank you.

6.1 Introduction Integration

Course week(s) Week 6
Course subject(s) 6. Integration

This lecture the topic is Integration. First we will explore the concept of integration by looking at the Prêt-a-loger example: turning an existing house into a sustainable one. You will learn the definition of integration by Riemann sums. Then we will discuss the fundamental theorem of calculus to define the relation between integral and derivative. We will review the primitive functions of x^n, e^x, sine and cosine. You will apply the rules of calculation.

We finish this lecture with a university preview on integration of functions with more than one variable.

How can you measure the total electricity use of your house with integrals? Watch the video to find out.

Sorry but there don't seem to be any downloads..

Subtitles (captions) in other languages than provided can be viewed at YouTube. Select your language in the CC-button of YouTube.

Creative Commons License
Pre-University Calculus by TU Delft OpenCourseWare is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Based on a work at https://ocw.tudelft.nl/courses/pre-university-calculus/.
Back to top
[sg_popup id=6]