sin4x sin8x

Integrate the following functions: sin 4x sin8x

Prove that (cos3x)/(sin2x sin4x)+(cos5x)/(sin4x sin6x)+(cos7x)/(sin6x sin8x)+(cos9x)/(sin8x sin10x)=(1)/(2)(cos ecx)[cos ec2x-cos ec10x]

int (sin4x) / (sin x) sin4x sin x

show that (1)/(2sin x)(csc2x-cos ec4x)=(cos3x)/(sin2x sin4x) and hence prove that (cos3x)/(sin2x sin4x)+(cos5x)/(sin4x sin6x)+(cos7x)/(sin6x sin8x)+......+ terms =(1)/(2sin x)[cos ec2x-cos ec(2n+2)x]

sin 4x sin 8x

sin 4x sin 8x

Find the integrals of the functions sin 4x sin 8x

Find the integrals of the functions sin 4x sin 8x

Find the integrals of the functions sin 4x sin 8x

Find the integrals of the functions sin 4x sin 8x