Question on: JAMB Mathematics - 2007

Determine the value of (∫^{\frac{\pi}{2}}_{0}) (-2 cosx)dx

A
-\(\frac{3}{2}\)
B
-\(\frac{1}{2}\)
C
-2
D
-3
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Correct Option: C

Determine the value of (∫^{\frac{\pi}{2}}_{0}) (-2 cosx)dx

(∫^{\frac{\pi}{2}}_{0}) (-2 cosx)dx = -2 sin x(∫^{\frac{\pi}{2}} _{0})

= 2(sin 0 - sin(\frac{\pi}{2}))

= 2(0 - 1)

= -2

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