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Evaluate: int(x^2+1/(x^2))^3\ dx...

Evaluate: `int(x^2+1/(x^2))^3\ dx`

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`\text { Evaluate i) } \int(x^{2}+\frac{1}{x^{2}})^{3} d x `
`I Rightarrow \int(x^{6}+\frac{1}{x^{6}}+3 x^{6} \cdot \frac{1}{x^{2}}(x^{2}+\frac{1}{x^{2}})) d x `
`I Rightarrow \int(x^{6}+\frac{1}{x^{6}}+3(x^{2}+\frac{1}{x^{2}})) d x `
`I Rightarrow \frac{x^{7}}{7}+\frac{x^{-6+1}}{-6+1}+\frac{3 x^{3}}{3}+\frac{x^{-3+1}}{-3+1}+C `

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