The Graphs of antiderivatives exercise appears under the Integral calculus Math Mission on Khan Academy. This exercise shows how basic antiderivatives are graphed in respect to their constants. 

Types of Problems Edit

Graphs of antiderivatives

Find the integral of the function and take into account the constant

There are two types of problems in this exercise:

  1. Find and graph the general indefinite integral given: The student is asked to find the antiderivative of the function given and then graph it.
  2. Graph the original function given the antiderivative: The student is asked to use the antiderivative to graph the original function. 

Strategies Edit

Knowledge of basic antiderivatives concepts is encouraged to ensure success on this exercise.

  1. When the original function is increasing, the antiderivative is positive.
  2. When the original function is decreasing, the antiderivative is negative.
  3. If the antiderivative has an interval of a zero slope, the original function has an interval of a zero slope. 
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