1001_5.5_5.6_Lab_25 - CALCULUS 1 LAB 25 NAME: _PARTNER: _...

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CALCULUS 1 LAB 25 NAME: ___________________PARTNER: _________________ 5.5 The Limit of a Sum and The Definite Integral GSA: ______________________Lab Time: ___________ Useful Formula: If f(x) is continuous on [a ,b], then the Signed Area = f ( x ) dx a b " = lim n # + $ f ( x k ) % x k = 1 n & . The Signed Area=The Definite Integral=The Limit of the Sum with Equal Subintervals and Right Endpoints. 1. Evaluate as the limit of the sum with equal subintervals and right endpoints: x (2 " x ) dx 1 4 # = 5.6 The Fundamental Theorem of Calculus The Fundamental Theorem of Calculus: Let f(x) be continuous on an interval I with a < b and a, b, x in I.
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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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