1.

Evaluate the following integrals: `intcos^(4)xdx`

Answer» Correct Answer - `(3x)/(8)+(sin4x)/(32)+(sin2x)/(4)+C`
`I=(1)/(4)int(2cos^(2)x)^(2)dx=(1)/(4)(1+cos2x)^(2)dx`
`=(1)/(4)int{:[(1+2cos2x)+((1+cos4x)/(2))]:}dx=int{:[(3)/(8)+(1)/(2)cos2x+(1)/(8)cos4x]:}dx`.


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