Use the fourth taylor polynomial at x 0 to approximate the

Question

Use the fourth Taylor polynomial at x = 0 to approximate the area under the graph of f(x) = ln(1 + x²), from x = - 1/2 to x= 1/2 ( round your answer to five decimal places)

Hint: First find the Taylor polynomial of f(u) = ln(1 + u); then use the substitution u = x².