Prove the following reduction formula: integrate of ((cosx)^n) dx =1/n(cos^(n-1)x)(sin(x)) + ((n-1)/n) integrate of cos^(n-2)dx
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mlehuzzah
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mlehuzzah
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Use integration by parts:
`u="cos" ^(n-1) x` `dv = "cos" x`
`du = (n-1)( "cos"^(n-2) x)( -"sin" x) dx` `v="sin" x`
Then
`int "cos" ^n x dx = "cos"^(n-1)...
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