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Evaluate pi 2 sec2 x - tan2x dx - JAMB Mathematics 1998 Question

Evaluate ∫\(^{\pi}_{2}\)(sec2 x - tan2x)dx
A
\(\frac{\pi}{2}\)
B
\(\pi\) - 2
C
\(\frac{\pi}{3}\)
D
\(\pi\) + 2
correct option: b
∫\(^{\pi}_{2}\)(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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