Question

Help

Answer 1

\[Prove \int\limits_{- π}^{π}sinkx*\sinλx = π for k=λ, 0 for k \neqλ\]

Answer 2

sin λxdx sorry

Answer 3

for \(k=\lambda\) integrand will be \(\sin^2 kx\) use this :\[2\ \sin^2 kx=1-\cos 2kx\]

for \(k\neq\lambda\) use the identity for\[\sin p \sin q\]