Evaluate the following definite integral i (a) Analytically. (b) Using only trapezoidal rule [8 segments]. Compute...

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Evaluate the following definite integral i (a) Analytically. (b) Using only trapezoidal rule [8 segments]. Compute the true relative percent error. (c) Using only Simpson's 1/3 rd. rule [8 segments]. Compute the true relative percent error. X Note: A = Sy(x) dx Single Application y(x) 0 1 h = b-a 10 1=1₁" (4 + 3) 2 2 (4 + 3x²) dx, ) N Trapezoidal Rule h A == (yo+y₁) where N is the number of segments. 3 4 Simpson's 1/3rd Rule A = (v₁ + 4y₁ + y₂) 5 6 7 CO Evaluate the following definite integral i (a) Analytically. (b) Using only trapezoidal rule [8 segments]. Compute the true relative percent error. (c) Using only Simpson's 1/3 rd. rule [8 segments]. Compute the true relative percent error. X Note: A = Sy(x) dx Single Application y(x) 0 1 h = b-a 10 1=1₁" (4 + 3) 2 2 (4 + 3x²) dx, ) N Trapezoidal Rule h A == (yo+y₁) where N is the number of segments. 3 4 Simpson's 1/3rd Rule A = (v₁ + 4y₁ + y₂) 5 6 7 CO