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Evaluate ∫\(^{\pi}_{2}\)(sec2 x - tan2x)dx

Evaluate ∫\(^{\pi}_{2}\)(sec2 x - tan2x)dx
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  • A \(\frac{\pi}{2}\)
  • B \(\pi\) - 2
  • C \(\frac{\pi}{3}\)
  • D \(\pi\) + 2
Correct Answer: Option B
Explanation:
∫\(^{\pi}_{2}\)(sec2 x - tan2x)dx
∫\(^{\pi}_{2}\) dx = [X]\(^{\pi}_{2}\)
= \(\pi\) - 2 + c
when c is an arbitrary constant of integration

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