Question on: JAMB Mathematics - 2008

Evaluate (\int^{\frac{\pi}{2}} _{\frac{-\pi}{2}} cos x dx)

A
zero
B
1
C
2
D
3
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Correct Option: C

(\int^{\frac{\pi}{2}} _{\frac{-\pi}{2}} cos x dx = [sinx]^{\frac{\pi}{2}} _{\frac{-\pi}{2}}\

=sin\frac{\pi}{2} - sin\frac{-\pi}{2})

= sin90 – sin-90

= sin90 – sin270

= 1 – (-1)

= 1+1

= 2

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