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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