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\(\int \frac{\sec^2x}{\sqrt{\tan^2x+4}}dx=\) |
\(log|\tan x|+c\) \(log|\tan x+\sec x|+c\) $\log\left|\tan x+\sqrt{\tan^2x+4}\right|+C$ \(log|\tan x-\sqrt{tan^x+4}|+c\) |
$\log\left|\tan x+\sqrt{\tan^2x+4}\right|+C$ |
\(\int \frac{\sec^2xdx}{\sqrt{\tan^2x+4}}\) $=\int\frac{d(\tan x)}{\sqrt{\tan^2x+4}}$ $=\log\left|\tan x+\sqrt{\tan^2x+4}\right|+C$ |
