Question on: JAMB Mathematics - 2011
Find (\int^{1}_{0}) cos4 x dx
A
\(\frac{3}{4}\) sin 4x + k
B
-\(\frac{1}{4}\) sin 4x + k
C
-\(\frac{3}{4}\) sin 4x + k
D
\(\frac{1}{4}\) sin 4x + k
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Correct Option: D
(\int^{1}_{0}) cos4 x dx
let u = 4x
(\frac{dy}{dx}) = 4
dx = (\frac{dy}{4})
(\int^{1}_{0})cos u. (\frac{dy}{4}) = (\frac{1}{4})(\int)cos u du
= (\frac{1}{4}) sin u + k
= (\frac{1}{4}) sin4x + k
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