Use the Maclaurin series sin x = 0 6/7 sin(x5) dx = JO 6/7 n=0 ∞ x²n+1 to approximate the following definite integral with lerror|≤ 0.000001. (2n + 1)! Σ(-1)". n=0 *-£ dx = n=0 How many terms are needed to reach this approximation? 6/7

Advanced Engineering Mathematics
10th Edition
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Chapter2: Second-order Linear Odes
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Use the Maclaurin series sin x =
1817
sin(x5) dx
=
6/7 ∞
مة
n=0
∞
x²n+1
Σ(-1)". to approximate the following definite integral with error|≤ 0.000001.
(2n + 1)!
n=0
dx
How many terms are needed to reach this approximation?
||
=
n=0
6/7
10
0
Transcribed Image Text:Use the Maclaurin series sin x = 1817 sin(x5) dx = 6/7 ∞ مة n=0 ∞ x²n+1 Σ(-1)". to approximate the following definite integral with error|≤ 0.000001. (2n + 1)! n=0 dx How many terms are needed to reach this approximation? || = n=0 6/7 10 0
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