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 three-point 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] 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 three-point 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]