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A calculus problem of higher mathematics in colleges and universities (please give the process)
This problem uses step-by-step integration. The process is shown in the figure.

The gradual integration of pictures is wrong. The following is (1+x) 3/2.

Just convert (1+x) 3/2 into (1+x) * (1+x)1/2.

Answer: (root number 2)/9- 1/729-k/9