Use of De-Moivre's theorem........

Can anyone plz explain the use of complex numbers ( de-moivre's theorem) in finding out the integral of type

∫sinmxcosnxdx , where both m,n are positive integers.

2 Answers

481
Anurag Ghosh ·

m and n are in the powers

2305
Shaswata Roy ·

Use:

∫sin(mx)cos(nx)dx
=∫(emx-emx) (enx+enx)2idx

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