1001_5.4_Lab_24

1001_5.4_Lab_24 - # . 2. Find the area under the curve 3 2...

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CALCULUS 1 LAB 24 NAME: ___________________PARTNER:_________________ 5.4 Sigma Notation; GSA:_________________Lab Time: _____ The Definite Integral as the Limit of a Sum Useful Formulas: If f(x) is continuous on [a ,b], then the Signed Area = f ( x ) dx a b " = n # + $ lim f ( x k ) % x k = 1 n (right endpoints, equal subintervals) x k = a + k " x , n a b x ! = " . 1 k = 1 n " = n k k = 1 n " = n ( n + 1) 2 k 2 k = 1 n " = n ( n + 1)(2 n + 1) 6 k 3 k = 1 n " = n ( n + 1) 2 # $ % ' ( 2 1. Evaluate (2 k 2 " k 3 ) + (4 k + 1) k = 1 8 # k = 1 3
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Unformatted text preview: # . 2. Find the area under the curve 3 2 ) ( x x f + = over the interval [a,b], where k x is the right endpoint of each equal subinterval. Given a=0, b=3. 3. Evaluate the definite integral as the limit of the sum: f ( x ) dx a b " = n # + $ lim f ( x k ) % x k = 1 n & , evaluate (2 x " 3) dx 1 5 # ....
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This note was uploaded on 02/21/2012 for the course MATH 1001 taught by Professor Dr.shaw during the Spring '11 term at FIT.

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