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Antiderivatives Following is the formal definition of antiderivative of f. If F and G are any two antiderivatives of f, then so , where C is a constant.

Antiderivatives We can write this as , so we have the following result.

Antiderivatives In Table 2 we list some particular antiderivatives.

Example 2 Find all functions g such that Solution: We first rewrite the given function as follows:

Example 2 – Solution Thus we want to find an antiderivative of cont’d Thus we want to find an antiderivative of Using the formulas in Table 2 together with Theorem 1, we obtain