2011
Mathematics
67ca00ce0c643c71d77dee1f
Find ∫ cos4 x dx
A.
3/4 sin 4x + k
B.
-1/4 sin 4x + k
C.
-3/4 sin 4x + k
D.
1/4 sin 4x + k
Correct Answer: 1/4 sin 4x + k
Explanation
∫ cos4 x dx let u = 4x dy/dx = 4 dx = dy/4 ∫cos u. dy/4 = 14 ∫cos u du = 1/4 sin u + k = 1/4 sin4x + k
∫ cos4 x dx let u = 4x dy/dx = 4 dx = dy/4 ∫cos u. dy/4 = 14 ∫cos u du = 1/4 sin u + k = 1/4 sin4x + kTHIS WEEK's
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