Applying Properties of Definite Integrals
AP Calculus BC · Flashcards
AP CALCULUS BC · FLASHCARDS
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QUESTION
Evaluate
∫
0
π
sin
(
x
)
d
x
\int_0^{\pi} \sin(x)\,dx
∫
0
π
sin
(
x
)
d
x
using known values.
QUESTION
What property allows combining integrals over adjacent intervals?
QUESTION
Evaluate
∫
0
4
(
x
+
1
)
d
x
\int_0^4 (x + 1)\,dx
∫
0
4
(
x
+
1
)
d
x
using properties.
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ANSWER
12.
∫
0
4
x
d
x
+
∫
0
4
1
d
x
=
8
+
4
=
12
\int_0^4 x dx + \int_0^4 1 dx = 8 + 4 = 12
∫
0
4
x
d
x
+
∫
0
4
1
d
x
=
8
+
4
=
12
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