For trapezoid and Simpson methods, the numerical integration 
have relative error ![varepsilon _{N}=[I_{exact}-I(N)]/I_{exact}sim1/N^{1.5}](https://d2vlcm61l7u1fs.cloudfront.net/media/22d/22dcada8-b319-413d-9774-38bbbde032ce/5ad9d8aee2f64.gif)
where 
is the numerical result using 
intervals between [0, 1].
(i) Explain the power-law scaling with an exponent 1.5 (instead of 2 and 4 as expected for the trapezoid and Simpson’s method, respectively).
(ii) How can one circumvent this problem and restore the desired error scaling ?
power law scaling:
power law scaling is a scaling with a constant which simpliy
multiplies the originalpower law relation with a
constant.
ii)
for trapeziod ERROR SCALING
I=0.2
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