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Problem 2: One version of the Fundamental Theorem of Calculus tells us that if F is any antiderivative of the function f, then | f(x) dx = F(6) – F(a). Use this to evaluate the following definite integrals. a 4 et Va dx а. b. | (t + 3)(t – 1) dt (Hint: Expand the product first before trying to apply the Fundamental Theorem of Calculus.) (x + 1)² dx C. 1

Problem 2: One version of the Fundamental Theorem of Calculus tells us that if F is any antiderivative of the function f, then | f(x) dx = F(6) – F(a). Use this to evaluate the following definite integrals. a 4 et Va dx а. b. | (t + 3)(t – 1) dt (Hint: Expand the product first before trying to apply the Fundamental Theorem of Calculus.) (x + 1)² dx C. 1

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
Problem 4CR: Determine whether each of the following statements is true or false, and explain why. Implicit...
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Problem 2: One version of the Fundamental Theorem of Calculus tells us that if F is any antiderivative of the function f, then | f(x) dx = F(b) – F(a). Use this to evaluate the following definite integrals. a et + Va dx а. 1 b. (t + 3)(t – 1) dt (Hint: Expand the product first before trying to apply the Fundamental Theorem of Calculus.) 3 (x + 1)2 dx С. 1 16 5 dx Va3 d. 4 dx е. f. Зе" — 2 sin т dx
Transcribed Image Text:Problem 2: One version of the Fundamental Theorem of Calculus tells us that if F is any antiderivative of the function f, then | f(x) dx = F(b) – F(a). Use this to evaluate the following definite integrals. a et + Va dx а. 1 b. (t + 3)(t – 1) dt (Hint: Expand the product first before trying to apply the Fundamental Theorem of Calculus.) 3 (x + 1)2 dx С. 1 16 5 dx Va3 d. 4 dx е. f. Зе" — 2 sin т dx
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