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Unformatted text preview: 5.4 1, 3, 5, 7, 11, 13, 14, 25, 27, 29, 31, 41, 53, 62. 5.5 114, 41 26.4 Proposition Suppose f ( x ) g ( x ) over the interval [ a , b ]. Then the area of the region bounded by the curves of f and g over [ a , b ] is given by the number obtained from Proof is given in class. 26.4.1 Example Find the area of the region bounded by f ( x ) = sin x and g ( x ) = cos x over the interval [0, ] 26.5 Various examples on the FTC. Note : In physics you may have used a given formula to compute the above value. Verify that the same answer is obtained whichever way you choose to solve the problem. 26.6 Example Compute the derivative (with respect to x ) of the given function g ( x ) in two ways: The first by direct integration followed by differentiation, the second by invoking part I of the FTC. Using part II of the FTC: Using part I of the FTC:...
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This note was uploaded on 12/28/2011 for the course MATH 116 taught by Professor Robertandre during the Spring '11 term at Waterloo.
 Spring '11
 RobertAndre
 Calculus, Antiderivatives, Derivative

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