5. The following data give approximations to the integral = S 0 h N₁(h) = 1.570796, N₁ (1) = M = sin x dx. 1.896119, №₁ (1) h = 1.974232, №₁ (1) 8 = 1.993570. Assuming M = N₁(h) + K₁h² + K₂h + K3h6 + K4h8 + 0 (h¹0), construct an extrapolation table to determine N₁(h).

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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5.
The following data give approximations to the integral
5² si sin x dx.
N₁(h) 1.570796, N₁
M =
2
= 1.896119, N₁
= 1.974232, N₁
h
8
= 1.993570.
4
Assuming M = N₁(h) + K₁h² + K₂h4+ K3h6 + K4h8 + 0 (h¹0), construct an extrapolation table
to determine N4(h).
Transcribed Image Text:5. The following data give approximations to the integral 5² si sin x dx. N₁(h) 1.570796, N₁ M = 2 = 1.896119, N₁ = 1.974232, N₁ h 8 = 1.993570. 4 Assuming M = N₁(h) + K₁h² + K₂h4+ K3h6 + K4h8 + 0 (h¹0), construct an extrapolation table to determine N4(h).
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