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Question 01: Given an integral It is impossible to integrate this integral because anti-derivative ...
Question 01: Given an integral It is impossible to integrate this integral because anti-derivative of the function inside the integral does not exist. But thanks to numerical analysis, we can approximate it. Use Taylor series approximation of \( e^{x^{2}} \) up to \( P_{6}(x) \) and \( \cos \left(x^{3}\right) \) up to \( P_{12}(x) \) and replace it in the above integral and then integrate to approximate it. Compare your answer \( P^{*} \) with true value \( P=1.312349735394986 \) and compute percentage error. Also state the major source of this error.