MCQ
$\int \frac{1+\tan x}{1-\tan x} d x$ is equal to:
  • A
    $\sec ^2\left(\frac{\pi}{4}-x\right)+C$
  • B
    $\sec ^2\left(\frac{\pi}{4}+x\right)+C$
  • C
    $\log \left|\sec \left(\frac{\pi}{4}-x\right)\right|+C$
  • $\log \left|\sec \left(\frac{\pi}{4}+x\right)\right|+C$

Answer

Correct option: D.
$\log \left|\sec \left(\frac{\pi}{4}+x\right)\right|+C$
(d) $\log \left|\sec \left(\frac{x}{4}+x\right)\right|+C$
Explanation: $\log \left|\sec \left(\frac{x}{4}+x\right)\right|+C$

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