Question on: JAMB Mathematics - 1992

Evaluate the integral (\int^{\frac{\pi}{4}}_{\frac{\pi}{12}}) 2 cos 2x dx

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

let I = (\int^{\frac{\pi}{4}}_{\frac{\pi}{12}}) 2 cos 2x dx

= 2(sin 2x)(\frac{\pi}{4}) (sin 2x)(\frac{\pi}{4})(\frac{\pi}{12})

(2)(\frac{\pi}{12})

= -1 - (\frac{1}{2})

= (\frac{1}{2})

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