| Graphs of antiderivatives | |
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| Description | |
| Exercise Name: | Graphs of antiderivatives |
| Math Missions: | Integral calculus Math Mission |
| Types of Problems: | 2 |
The Graphs of antiderivatives exercise appears under the Integral calculus Math Mission. This exercise shows how basic antiderivatives are graphed in respect to their constants.
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Find the integral of the function and take into account the constant
Types of Problems[]
There are two types of problems in this exercise:
- Find and graph the general indefinite integral given: The user is asked to find the antiderivative of the function given and then graph it.
- Graph the original function given the antiderivative: The user is asked to use the antiderivative to graph the original function.
Strategies[]
Knowledge of basic antiderivatives concepts are encouraged to ensure success on this exercise.
- When the original function is increasing, the antiderivative is positive.
- When the original function is decreasing, the antiderivative is negative.
- If the antiderivative has a interval of a zero slope, the original function has an interval of a zero slope.
Real-life Applications[]
- Calculus describes how function change and experience with analysis of graphs will increase ability in calculus.