More Related Content
Similar to simpson's in numerical method (20)
More from Umme habiba (20)
simpson's in numerical method
- 4. 𝟎
𝟏 𝟏
(𝟏+𝒙)
𝒅𝒙 𝒖𝒔𝒊𝒏𝒈 𝒉 =
𝟏
𝟔
𝑪𝒐𝒓𝒓𝒆𝒄𝒕 𝒖𝒑 𝒕𝒐 𝟒 𝒅𝒆𝒄𝒊𝒎𝒂𝒍𝒆 𝒑𝒍𝒂𝒄𝒆𝒔 𝒃𝒚 𝒖𝒔𝒊𝒏𝒈 𝒔𝒊𝒎𝒑𝒐𝒏′𝒔
𝟑
𝟖
𝑹𝒖𝒍𝒆.
Solve:
𝑿 𝒏 = 𝑿 𝟎 + 𝒏𝒉
1=0+n*
𝟏
𝟔
n= 6
X y=
1
(1+𝑥)
0 1
0.16667 0.85714
0.33334 0.74999
0.50001 0.66666
0.66668 0.59999
0.83335 0.54545
0.1 0.5
- 6. 4
5.2
𝑙𝑛 𝑑𝑥 𝑢𝑠𝑖𝑛𝑔 𝑛 = 6 𝐶𝑜𝑟𝑟𝑒𝑐𝑡 𝑢𝑝 𝑡𝑜 4 𝑑𝑒𝑐𝑖𝑚𝑎𝑙𝑒 𝑝𝑙𝑎𝑐𝑒𝑠 𝑏𝑦 𝑢𝑠𝑖𝑛𝑔 𝑠𝑖𝑚𝑝𝑜𝑛𝑠
3
8
𝑅𝑢𝑙𝑒
Solve:
𝑋 𝑛 = 𝑋0 + 𝑛ℎ
5.2=4+6xh
h= .2
X y=lnx
4 1.38629
4.2 1.43508
4.4 1.48160
4.6 1.52605
4.8 1.56862
5.0 1.60943
5.2 1.64865