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Explain in words and write mathematically how the Fundamental Theorem of Calculus is used to evaluate definite integrals Choose the correct answer below. O A.
Explain in words and write mathematically how the Fundamental Theorem of Calculus is used to evaluate definite integrals Choose the correct answer below. O A. Let f be continuous on [a,b]. To evaluate the definite integral of f using the Fundamental Theorem of Calculus, find any antiderivative of f and call it F. Then, compute F(b) - F(a), the difference in the values of F between the upper and lower limits of b integration. Written mathematically, f(x)dx = F(b) -F(a). B. Let f be continuous on [a,b]. To evaluate the definite integral of f using the Fundamental Theorem of Calculus, find any derivative of f and call it f'. Then, compute f'(b) - f'(a), the difference in the values of between the upper and lower limits of b integration. Written mathematically, | f(x)dx =f' (b) - F'(a) O C. Let f be continuous on [a,b]. To evaluate the definite integral of f using the Fundamental Theorem of Calculus, find any antiderivative of f and call it F. Then, compute F(b) + F(a), the sum of the values of F at the upper and lower limits of integration. Written mathematically, f(x)dx =F(b) + F(a). a
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