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If I(m"," n)=int cos^(m)x*cos nx dx, sho...

If `I_(m"," n)=int cos^(m)x*cos nx dx`, show that `(m+n)I_(m","n)=cos^(m)x*sin nx+m I_((m-1","n-1))`

Text Solution

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The correct Answer is:
`(m+n)I_(m","n)=cos^(m)x*sin nx + mI_(m-1", "n-1)`
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