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math 181 worksheets w2 2 review 2 fundamental theorem of...

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Math 181 Worksheets W2 2 Review 2: Fundamental theorem of calculus Keywords: integration, definite integral, indefinite integral, Fundamental Theorem of Calcu lus, antiderivative 1. Conaier the orot t. (a) What does each mean? (b) How are the expressions different? Give as much detail as possible. 2. State the Fundamental Theorem of Calculus. (What is a theorem?) 3. Do you find it harder to take an integral or a derivative? Why? Use examples to show what you mean. 4. Compute f(x), where f is defined as the function 2(+5) dt Explain which theorems, and which differentiation techniques you are using. Hint: Let g(s)- 2t ln(t2 + 5) dt and h(z)-a. Then you will have f(r)-g(h(z)).

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