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Q.

If m≠n,m,n∈N then the value of ∫02π cos⁡mx cos⁡nxdx is

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a

0

b

c

π

d

dependent on m and n

answer is A.

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Detailed Solution

∫02π cos⁡mxcos⁡nxdx=12∫02π [cos⁡(m+n)x+cos⁡(m−n)x]dx=121m+nsin⁡(m+n)x+1m−nsin⁡(m−n)x02π=0
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