Finding antiderivatives

The Finding antiderivatives exercise appears under the Integral calculus Math Mission. This exercise provides the basics of integral calculus and shows how differential calculus and integral calculus connect.

Types of Problems
There are four types of problems in this exercise: 1. Find the indefinite integral that evaluates to basic trig functions: The student is asked to evaluate basic trig functions as antiderivatives including sine and cosine.

2. Find which functions aren't the antiderivative of the function: The student is asked to select the choices that are antiderivatives of the original function.

3. Find the rules that are correct for the given antiderivative: The student is asked to select the choices which would evaluate to the given antiderivative.

4. Evaluate the multiple variable antiderivative: The student is asked to evaluate an antiderivative that contains more than one variable.

Strategies
Knowledge of the basic trig antiderivatives concepts are encouraged to ensure success on this exercise. 1. The antiderivative of x to the n power is x to the n power plus one over n plus one.

2. The antiderivative of sine is negative cosine.

3. The antiderivative of cosine is sine.

4. When solving antiderivatives with multiple variable rewrite it as two separate antiderivatives for easier solving.

5. When finding the antiderivative, the constant always goes away.