Approximating Areas With Riemann Sums
AP Calculus BC · Flashcards
AP CALCULUS BC · FLASHCARDS
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QUESTION
State the formula for the midpoint Riemann sum.
QUESTION
Which Riemann sum uses midpoints of intervals?
QUESTION
Calculate
M
4
M_4
M
4
for
f
(
x
)
=
x
f(x)=x
f
(
x
)
=
x
on
[
0
,
4
]
[0,4]
[
0
,
4
]
with
n
=
4
n=4
n
=
4
.
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ANSWER
M
4
=
8
M_4 = 8
M
4
=
8
.
△
x
=
1
\triangle x = 1
△
x
=
1
; sum
f
(
0.5
)
+
f
(
1.5
)
+
f
(
2.5
)
+
f
(
3.5
)
=
0.5
+
1.5
+
2.5
+
3.5
=
8
f(0.5) + f(1.5) + f(2.5) + f(3.5) = 0.5 + 1.5 + 2.5 + 3.5 = 8
f
(
0.5
)
+
f
(
1.5
)
+
f
(
2.5
)
+
f
(
3.5
)
=
0.5
+
1.5
+
2.5
+
3.5
=
8
.
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