Question

Write the value of $\int \sec x\left(\sec x+\tan x\right)dx$

Answer 1

$$\begin{gathered} \int \sec x\left(\sec x+\tan x\right)dx \\ =\int \left({\sec }^{2}x+\sec x\tan x\right)dx \\ =\tan x+\sec x+C \end{gathered}$$