Use a Taylor series to approximate the following definite integral. Retain as many terms as needed to ensure the error is less than 10 0.37 S In (1+x) dx 0.37

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Use a Taylor series to approximate the following definite integral. Retain as many terms as needed to ensure the error is less than 10 ¯*
0.37
I In (1+x) dx
0.37
0.37
OA.
dx
O B.
dx
2!
3!
+...
4!
0.37
0.37
Oc.
+ ... dx
4
O D. |
2!
3!
+...
4!
0.37
xp
OE.
0.37
21
31
dx
x? x3
OF.
0.37
OG.
xp ... +
dx
0.37
O H.
+...
4
dx
2°C
Mostly sunny
Transcribed Image Text:Use a Taylor series to approximate the following definite integral. Retain as many terms as needed to ensure the error is less than 10 ¯* 0.37 I In (1+x) dx 0.37 0.37 OA. dx O B. dx 2! 3! +... 4! 0.37 0.37 Oc. + ... dx 4 O D. | 2! 3! +... 4! 0.37 xp OE. 0.37 21 31 dx x? x3 OF. 0.37 OG. xp ... + dx 0.37 O H. +... 4 dx 2°C Mostly sunny
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