Question: Consider the integral: 1-(-0.055x4+0.86x3-4.22+6.3x +2)d.a Part (a) Evaluate the given integral analytically. (Round the final answer to four decimal places.) Part (b) Use Romberg integration

Consider the integral: 1-(-0.055x4+0.86x3-4.22+6.3x +2)d.a Part (a) Evaluate the given integral analytically. (Round the final answer to four decimal places.) Part (b) Use Romberg integration to evaluate the integral to an a curacy of405% Round the final answer tothree dec al places. Provide a table of the results. Part (c) Evaluate the given integral using the three-point Gauss quadrature formula.(Round the final answer to three decimal places.) Part (d) Evaluate the following integral MATLAB integral function. (Round the final answer to three decimal places.) Use the integral function in Matlab to verify your answers in (a), (b) and (c)

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