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approximations to different integrals

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Below are some approximations to different integrals. By extrapolating from these approximations give the value of the integral to a level of accuracy you feel is justified.
• T2=4.02441, T4=4.09123.
• M8=11.3421, M16=10.6745.
• S1=4.4692, S2=4.9899.

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Richardson's extrapolation formula is expressed here.

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Below are some approximations to different integrals. By extrapolating from these approximations give the value of the integral to a level of accuracy you feel is justified.
T2=4.02441, T4=4.09123.
M8=11.3421, M16=10.6745.
S1=4.4692, S2=4.9899.

Richardson's extrapolation formula is given by
R_2n=(2^r A_2n-A_n)/(2^r-1)
We can use the extrapolated value R_2n to estimate the error in ...

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