IB Mathematics Analysis and Approaches Quiz
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CALCULUS
Question 1
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Let
I
=
∫
0
2
1
1
+
x
d
x
I = \int_0^2 \frac{1}{1+x} dx
I
=
∫
0
2
1
+
x
1
d
x
and let
T
2
T_2
T
2
be the approximation of
I
I
I
using the trapezoidal rule with
n
=
2
n=2
n
=
2
. Find the value of the error,
T
2
−
I
T_2 - I
T
2
−
I
.
A
7
6
−
ln
(
3
)
\frac{7}{6} - \ln(3)
6
7
−
ln
(
3
)
B
ln
(
3
)
−
7
6
\ln(3) - \frac{7}{6}
ln
(
3
)
−
6
7
C
11
12
−
ln
(
3
)
\frac{11}{12} - \ln(3)
12
11
−
ln
(
3
)
D
7
6
−
ln
(
2
)
\frac{7}{6} - \ln(2)
6
7
−
ln
(
2
)
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