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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) ∫ ( )



∫ ( )
[( ) *


+]
∫
( )

∫
*
( )

(


)+ ∫
( )

*
( )

(


)+ *





+
∫
( )

∫
*
...