passpadi

2011

Mathematics

JAMB

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 + k
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