Question: \begin{align} \int \frac {sec^2 x}{Coses^2 x} . dx\end{align}

Answer:

\begin{align} \int \frac {sec^2 x}{Coses^2 x} . dx\end{align}

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

\begin{align} =\int \left(\frac{Sin^2x}{Cos^2x}\right) . dx\end{align}

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

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

\begin{align} =\int sec^2x . dx - \int 1. dx\end{align}

\begin{align} = tanx - x + C\end{align}

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Question: \begin{align} \int \frac {sec^2 x}{Coses^2 x} . dx\end{align}

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