Uudu c ee cos sin udu u c sin udu cos u c If f xgx on axb then īb aaf xdx g xdx If fx 0 on axb then 0ī afxdx If mfx M on axb then ġ1 ln ax b dx a ax b c ln udu u ln u u c Properties f x g xdx f xdx g xdx ībb aaf x g xdx f xdx ag xdx 0īa abf xdx f xdx cf x dx c f x dx , c is a constant īb aacf x dx c f x dx, c is a constant īcb aacf xdx f xdx f xdx for any value of c. Part II : f x is continuous on ab ,, F x is an anti-derivative of f x ( i. X gxft a dt is also continuous on ab , and Indefinite Integral : f xdx F x c where F x is an anti-derivative of f x .įundamental Theorem of Calculus Part I : If f x is continuous on ab , then Anti-Derivative : An anti-derivative of f x is a function, F x , such that F xfx . Width x and choose xi * from each interval. © 2005 Paul Dawkins Integralsĭefinitions Definite Integral: Suppose f x is continuous on ab ,. Visit for a complete set of Calculus notes.
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