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.

6.4 Calculating integrals

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

Learn the rules of calculation for integration, when the integrand is multiplied by a constant or two integrands are added.

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.

Some useful properties of the intervals of integrals are shown in this video.

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.

You learned that there is no general rule for calculating integrals of compositions of  functions. In this video we show how to calculate integrals with a linear function within a more complex function using linear substitution.

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.

Catch the error

Let’s evaluate the integral for (1/x2)! Can you catch the error?

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.

Did you catch the error? Watch the explanation!

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]