Basic Properties of Definite Integrals
Key Questions
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Is this what you have in mind?
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#int_a^a f(x) dx=0# -
#int_a^b f(x) dx=-int_b^a f(x) dx# -
#int_a^b [f(x)+g(x)]dx=int_a^b f(x) dx+int_a^b g(x) dx# -
#int_a^b k f(x)dx=k int_a^b f(x) dx# -
#int_a^b f(x) dx=int_a^c f(x) dx + int_c^b f(x) dx#
I hope that this was helpful.
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Questions
Introduction to Integration
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Sigma Notation
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Integration: the Area Problem
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Formal Definition of the Definite Integral
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Definite and indefinite integrals
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Integrals of Polynomial functions
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Determining Basic Rates of Change Using Integrals
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Integrals of Trigonometric Functions
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Integrals of Exponential Functions
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Integrals of Rational Functions
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The Fundamental Theorem of Calculus
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Basic Properties of Definite Integrals