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Question
Find the following integrals:
`intx^2 (1 - 1/x^2)dx`
Solution
Let I = `int x^2 (1 - 1/x^2) dx = x^2 ((x^2 - 1)/x^2) dx`
`= int (x^2 - 1)` dx
`∴ int x^2 dx - int 1 dx`
`= x^3 /3 - x + C`
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