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3x2 dx is equivalent to Using substitution, the definite integral x³ + 1 .3 12 1 A du 0, .12 -1 2 du B © Su du

3x2 dx is equivalent to Using substitution, the definite integral x³ + 1 .3 12 1 A du 0, .12 -1 2 du B © Su du

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.4: Ordered Integral Domains
Problem 8E: If x and y are elements of an ordered integral domain D, prove the following inequalities. a....
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.2 3x2 dx is equivalent to Using substitution, the definite integral x3 +1 ,12 _ 1 du A ,12 1 (B du .9 du ,9 1 du
Transcribed Image Text:.2 3x2 dx is equivalent to Using substitution, the definite integral x3 +1 ,12 _ 1 du A ,12 1 (B du .9 du ,9 1 du
Suppose f is continuous ont he closed interval [a, b]. If F(x) is an antiderivative of f(x), for real numbers a, b and k, then the definite integral [f(x) + k]dx is equal to a A F(b) – F(a)+b – a В F(b) – F(a) + k(b a) F(b+ k) – F(a + k) + k KF(b) – KF(a) + k
Transcribed Image Text:Suppose f is continuous ont he closed interval [a, b]. If F(x) is an antiderivative of f(x), for real numbers a, b and k, then the definite integral [f(x) + k]dx is equal to a A F(b) – F(a)+b – a В F(b) – F(a) + k(b a) F(b+ k) – F(a + k) + k KF(b) – KF(a) + k
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