When given the question 'What is the area of the region enclosed by the function y = (m_l? and the z-axis over the interval [2,3]', the ChatGPT-generated text indicated that the area was 31n(2). Some of the output is given below: bz z1)(z4) Therefore, the area of the region enclosed by the function y = { - and the x-axis over the interval [2, 3] is 3In2| Reference: OpenAl. (2023). ChatGPT (July 22 version) [Large language model]. https://chat.openai.com/chat (a) Do you agree with the Al generated output? Use mathematics to explain why the solution given by ChatGPT is correct or incorrect. (b) When given the question 'What is the area of the region enclosed by the function y = (I_S and the z-axis over the interval [1,1]', the ChatGPT-generated text gave the answer below. Clearly, an overlapping pair of squares is not the solution. Explain what might have caused the problem here. 0 6 1 bz Area f_l md? ! fo {a'l)f.' dz Due to symmetry and the fact that the integrand is odd over [1, 1], the absolute value of the integral can be simplified. Alternatively, by interpreting the integral limits correctly, we get O