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1- An integral is given below: 0,8 0 (0,2+25x-200x+675x 900x+400x)dx Write a Python program to calculate the following ones: a- Find out the analytical

1- An integral is given below: 0,8 0 (0,2+25x-200x+675x 900x+400x)dx Write a Python program to calculate the following ones: a- Find out the analytical solution, (5p) b- Solve the integral by "Trapezoidal Rule" taking the step interval: h= 0,1 and calculate the percentage error compared to the analytical solution, (10p) c- Solve the integral by "Gauss - Legendre 3 Point Rule" and calculate the percentage error compared to the analytical solution. (10p)

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