1.

Let f(x)=∣∣∣∣∣ω3ω4ω5sin(m−1)xsinmxsin(m+1)xcos(m−1)xcosmxcos(m+1)x∣∣∣∣∣,where m∈N and ω is the cube root of unity.If π/2∫0f(x)dx=aω+bω2, then (a,b)=

Answer»

Let f(x)=

ω3ω4ω5sin(m1)xsinmxsin(m+1)xcos(m1)xcosmxcos(m+1)x

,



where mN and ω is the cube root of unity.

If π/20f(x)dx=aω+bω2, then (a,b)=



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