The integral 1.75 = f & 3dx is to be approximated numerically. (a) Use h =...
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The integral 1.75 = f & 3dx is to be approximated numerically. (a) Use h = 0.25 and four decimal place arithmetic with rounding to approximate the integral f1.75 f(x)dr by (i) the composite trapezoidal rule (ii) Simpson's th rule (b) Use the threepoint Gaussian quadrature method to approximate the integral f1.75 f(r)dr. (Hint: r₁=0.7745966692 rs; r2 = 0.000000 c₁=0.555555555 = C3, C2 = 0.88888888) Use four decimal place accuracy in your computations. (5) (15) [25]
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