Let f(x)= x+ea. Use the backward difference formula of o(ℎ²) with ℎ=0.03 to approximate f''(3). Consider the integration of the function f(x)=e-x(1+tan(x)) numerically over [a,b]=[0,1]. Take uniform step size ℎ=0.25.
a. Use exactly five function evaluations, apply the composite trapezoidal rule to find the value of the integration
b. Use exactly five functions evaluations, apply the composite Simpson's rule to find the value of the integration