Evaluate ∫\(^{\pi}_{2}\)(sec2 x - tan2x)dx
A
\(\frac{\pi}{2}\)
B
\(\pi\) - 2
C
\(\frac{\pi}{3}\)
D
\(\pi\) + 2
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
∫\(^{\pi}_{2}\)(sec2 x - tan2x)dx
∫\(^{\pi}_{2}\) dx = [X]\(^{\pi}_{2}\)
= \(\pi\) - 2 + c
when c is an arbitrary constant of integration
Source: Myschool Past Questions Archive (Record #30739)