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Antiderivatives

Antiderivatives. Section 6.1. Consider:. or. then:. Given:. find. First, a little review:. It doesn’t matter whether the constant was 3 or -5, since when we take the derivative the constant disappears. However, when we try to reverse the operation:.

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Antiderivatives

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  1. Antiderivatives Section 6.1

  2. Consider: or then: Given: find First, a little review: It doesn’t matter whether the constant was 3 or -5, since when we take the derivative the constant disappears. However, when we try to reverse the operation: We don’t know what the constant is, so we put “C” in the answer to remind us that there might have been a constant.

  3. Given: and when , find the equation for . If we have some more information we can find C.

  4. Integrals such as are called definite integrals because we can find a definite value for the answer. The constant always cancels when finding a definite integral, so we leave it out!

  5. When finding indefinite integrals, we always include the “plus C”. Integrals such as are called indefinite integrals because we can not find a definite value for the answer.

  6. Refer to page 307

  7. Homework Page 312 #1-20 Page 192 #25-34

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