Curriculum GuideAdvanced Placement Calculus Page 24
The Definite Integral LO 3.3A
EK 3.3A1
EK 3.3A2
EK 3.3A3Analyze functions defined by
an integral.The definite integral can be
used to define new
functions.If f is a continuous function
on the interval (a,b], then
풅
풅풙^ �∫^ 풇(풕)풅풕풙
풂 �=풇(풙)^
where x is between a and b.Graphical, numerical,
analytical, and verbal
representations of a function
f provide information about
the function g defined as
품(풙)=∫ 풂풙 풇(풕)풅풕.Mean Value theorem for
Integrals
The Fundamental Theorem of
Calculus
FTC 1
FTC 2Larson/Hostetler Calculus
8 th
4.3, 4.4Ed.10