Question 40

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Jambmaths question: 

Evaluate $\int_{0}^{\tfrac{\pi }{4}}{{{\sec }^{2}}\theta d\theta }$

Option A: 

1

Option B: 

2

Option C: 

3

Option D: 

4

Jamb Maths Solution: 

$\begin{align}  & \int_{0}^{\tfrac{\pi }{4}}{{{\sec }^{2}}\theta d\theta }=\left[ \tan \theta  \right]_{0}^{\tfrac{\pi }{4}}=\tan \tfrac{\pi }{4}-\tan 0\text{    }\left| \tfrac{\pi }{4}radian={{45}^{\text{o}}} \right. \\ & \int_{0}^{\tfrac{\pi }{4}}{{{\sec }^{2}}\theta d\theta }=1 \end{align}$

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