JAMB - Mathematics (2012 - No. 31)

Evaluate \(\int^{\frac{\pi}{4}}_0sec^2 \theta d \theta\)
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Explanation

\(\int^{\frac{\pi}{4}}_0sec^2 \theta d \theta\)

= \([\tan \theta]_{0} ^{\frac{\pi}{4}}\)

= \(\tan \frac{\pi}{4} - \tan 0\)

= \(1 - 0\)

= 1.

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