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Step 1: Simplify and look for algebraic rewrites. None in this example. |
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Step 2 Identify any term(s) that includes the base case . Here you have 1 chunk, and it is the base case . |
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Step 3: Take the antiderivativeof the special cases using their specific Recipe. Chunk 1: n = 9 |
DO NOT FORGET THE +C |
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Final Result Meaning: Remember the Definite Integral will always provide you a definite value , and the Indefinite Integral provides you a family of solutions . |
The antiderivative of the equation is the family of graphs .
All graphs of the form have the same derivative (instantaneous rate of change), , at any x-value . The only difference between any of original graphs, , is just a vertical shift of +C . In the graph above are examples of 3-different C-values. You can see the instantaneous rate of change ( slope ) is the same at every x-value between all the different examples, no matter the +C . |