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madhapper
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#1
Report Thread starter 15 years ago
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1. integrate cos(m.pi.x/L)cos(n.pi.x/L) between L and -L

and same integration but with sin insted of cos


2. integrate sin(m.pi.x/L)cos(n.pi.x/L) between L and -L and show it equals 0
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RichE
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Report 15 years ago
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(Original post by madhapper)
1. integrate cos(m.pi.x/L)cos(n.pi.x/L) between L and -L

and same integration but with sin insted of cos


2. integrate sin(m.pi.x/L)cos(n.pi.x/L) between L and -L and show it equals 0
For one use the identity

2 cosP cosQ = cos(P+Q) + cos (P-Q)

for suitable P and Q.

For the second one, determine a similar identity using

sin(P+Q) + sin (P-Q).
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