Learning Resource Type

Classroom Resource

Improper Integrals: Integrating Over Infinite Limits

Subject Area

Mathematics

Grade(s)

9, 10, 11, 12

Overview

This informational material will explain how to evaluate integrals with infinite limits to find the value of a variable. It gives examples of integrals with limits of infinity or negative infinity that converge or diverge. There are corresponding videos available. Practice questions with a PDF answer key are provided.  

    Mathematics (2019) Grade(s): 09-12 - Precalculus

    MA19.PRE.7

    Determine numerically, algebraically, and graphically the limits of functions at specific values and at infinity.

    Unpacked Content

    UP:MA19.PRE.7

    Vocabulary

    • Limit
    • Convergent
    • Divergent
    • Continuous function
    • Discontinuous function
    • Discontinuity (infinite, jump, removable)

    Knowledge

    Students know:
    • How to graph the families of functions.
    • How to factor, simplify, and rationalize functions.
    • How to evaluate functions at a given input value.

    Skills

    Students are able to:
    • Identify continuity and discontinuity (if discontinuous, identify the type).
    • Calculate limits.

    Understanding

    Students understand that:
    • Functions have various types of continuity and discontinuity.
    • That limits can be determined numerically, graphically, and algebraically.
    • converging means that a limit exists, while diverging means that a limit does not exist.
    Link to Resource

    CR Resource Type

    Informational Material

    Resource Provider

    CK-12
    Accessibility

    Accessibility

    Text Resources: Content is organized under headings and subheadings
    Video resources: includes closed captioning or subtitles
    License

    License Type

    Custom
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