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Question 7

\begin{align} \int x^2\left(1 - \frac{1}{x^2}\right).dx \end{align}

Answer

\begin{align} \int x^2\left(1 - \frac{1}{x^2}\right).dx \end{align}

 \begin{align} =\int \left(x^2 - 1\right).dx \end{align}

 \begin{align} =\int x^2.dx - \int1.dx \end{align}

 \begin{align} =\frac{x^3}{3} - x + C \end{align}

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