Explanation Average value of function f ( x ) on the closed interval [ a , b ] is A v g . = 1 b − a ∫ a b f ( x ) d x We can divide given interval [ a , b ] into n subinterval of length Δ x = b − a n is Then we can choose average points x 1 * , x 2 * , x 3 * , x 4 * , ............ x n * in n subinterval. On computing average of f ( x 1 * ) , f ( x 2 * ) , f ( x 3 * ) , f ( x 4 * ) .................. , f ( x n * ) in f ( x 1 * ) + f ( x 2 * ) + f ( x 3 * ) + f ( x 4 * ) + .................. + f ( x n * ) n = f ( x 1 * ) + f ( x 2 * ) + f ( x 3 * ) + f ( x 4 * ) +

Pearson eText for Calculus for the Life Sciences -- Instant Access (Pearson+)

2nd Edition

ISBN: 9780137553457

Author: Raymond Greenwell, Nathan Ritchey

Publisher: PEARSON+

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Pearson eText for Calculus for the Life Sciences -- Instant Access (Pearson+)

Ch. 8.1 - YOUR TURN Use the trapezoidal rule with n=4 to...Ch. 8.1 - Prob. 2YT Ch. 8.1 - Prob. 1E Ch. 8.1 - Prob. 2E Ch. 8.1 - Prob. 3E Ch. 8.1 - Prob. 4E Ch. 8.1 - Prob. 5E Ch. 8.1 - Prob. 6E Ch. 8.1 - Prob. 7E Ch. 8.1 - Prob. 8E

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Average value of function to be found.