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UserId:35201

Answered Same Day Dec 20, 2021

Solution

David answered on Dec 20 2021

124 Votes

Solution 1:
Case 1:
N=4
A=-1 B=1
Hence

( )
√
√ (

) √
√ √
√

√ √

( √ √ √ )
Case 2:
For n=8
A=-1 B=1
Hence

( )
√
√ (

)
√

√

√
√ (

)
√

√

√

( )
Case 3:
Hence the integral value can be done by:
∫ √
[
( )

]

Hence here we see that the result from integral,
trapezoidal methods are equivalent.
Solution 2:
I) ∫ ( )

∫ ( )
[( ) *

+]
∫
( )

∫
*
( )

(

)+ ∫
( )

*
( )

(

)+ *

+
∫
( )

∫
*
...

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