Evaluate the integral int frac pi 4 frac pi 12 ... - JAMB Mathematics 1992 Question
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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