Use a Taylor series to approximate the following definite integral. Retain as many terms as needed to ensure the error is less than 10 0.64 Rewrite the given integral using a Taylor series and simplify the result. Choose the correct answer below. OA OB. OC. OD. 0.64 0.64 0.64 0.64 0 dx dx 3 2².21 1.3 -X 1.3 2².21 12 12+ 12 -X 5 2.31 18 + 1.3.5 18 1-3-5-7 7 4x²4. dx 2.4! 1.3.5 18+ 2³.31 1.3.5 18. 2³.31 1.3.5.7 2.41 1.3.5.7 2.41 Evaluate the integral such that the error is less than 104. 0.64 S 0 Round to four decimal places as needed.) dx dx *24 dx

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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 104.
0.64
I
0
Rewrite the given integral using a Taylor series and simplify the result. Choose the correct answer below.
OA.
O B.
O C.
OD.
0.64
0
0.64
dx
0
dx
0.64
! (₁-
0
16
X +
3
2.21
0.64
√ [₁+ ²+2
0
1.3
1.3
12
2².21
X
1.3
2².21
12
x12+
12
-X
5
2³.
3!
1.3.5
1.3.5
2.31
X
18
1.3.5
23.31
6
0 1+
(Round to four decimal places as needed.)
+
5,18+
7
x18+
.41
1.3.5.7
24
24 WIL
5+7,24 ... dx
1.3.5.7
2.41
Evaluate the integral such that the error is less than 104.
0.64
!;
dx
24
1.3.5.7 24.
2.41
dx
24. dx
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 104. 0.64 I 0 Rewrite the given integral using a Taylor series and simplify the result. Choose the correct answer below. OA. O B. O C. OD. 0.64 0 0.64 dx 0 dx 0.64 ! (₁- 0 16 X + 3 2.21 0.64 √ [₁+ ²+2 0 1.3 1.3 12 2².21 X 1.3 2².21 12 x12+ 12 -X 5 2³. 3! 1.3.5 1.3.5 2.31 X 18 1.3.5 23.31 6 0 1+ (Round to four decimal places as needed.) + 5,18+ 7 x18+ .41 1.3.5.7 24 24 WIL 5+7,24 ... dx 1.3.5.7 2.41 Evaluate the integral such that the error is less than 104. 0.64 !; dx 24 1.3.5.7 24. 2.41 dx 24. dx
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