Question: \begin{align} \int \frac{x^3 + 5x^2 - 4}{x^2} . dx\end{align}

Answer:

\begin{align} \int \frac{x^3 + 5x^2 - 4}{x^2} . dx\end{align}

\begin{align} =\int \left(x + 5 - 4x^{-2}\right) . dx\end{align}

\begin{align} =\int x .dx + 5 \int 1.dx- 4 \int x^{-2} .dx\end{align}

\begin{align} =\frac {x^2}{2} + 5x + 4 \left(\frac{x^{-1}}{-1}\right) + C\end{align}

\begin{align} =\frac {x^2}{2} + 5x + \frac{4}{x} + C\end{align}

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Question: \begin{align} \int \frac{x^3 + 5x^2 - 4}{x^2} . dx\end{align}

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