Applying Properties of Definite Integrals
AP Calculus BC · Flashcards · Recall
AP CALCULUS BC · FLASHCARDS
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QUESTION
Identify the property used:
∫
a
b
(
f
(
x
)
+
g
(
x
)
)
d
x
=
∫
a
b
f
(
x
)
d
x
+
∫
a
b
g
(
x
)
d
x
\int_a^b (f(x) + g(x))\,dx = \int_a^b f(x)\,dx + \int_a^b g(x)\,dx
∫
a
b
(
f
(
x
)
+
g
(
x
))
d
x
=
∫
a
b
f
(
x
)
d
x
+
∫
a
b
g
(
x
)
d
x
.
QUESTION
What is a definite integral's value if
f
(
x
)
=
0
f(x) = 0
f
(
x
)
=
0
for all
x
x
x
?
QUESTION
What property allows combining integrals over adjacent intervals?
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ANSWER
Additivity. Allows splitting intervals at any point.
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