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Question
Find the integrals of the function:
cos4 2x
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Solution
Let `I = int cos^4 2x dx`
`= int ((1 + cos 4x)/2)^2 dx`
`= 1/4 int (1 + cos^2 4x + 2 cos 4x) dx`
`= 1/4 int [1 + (1 + cos 8x)/2 + 2 cos 4x] dx`
`= 3/8 int dx + 1/8 int cos 8x dx + 1/2 int cos 4x dx`
`= 3/8 x + 1/64 sin 8x + 1/8 sin 4x + C`
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