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

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Mathematics JAMB 1998

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

  • \(\frac{\pi}{2}\)
  • \(\pi\) - 2 checkmark
  • \(\frac{\pi}{3}\)
  • \(\pi\) + 2

The correct answer is: 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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