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4∫(-π/2->π/2) (cosx)^4 dx
=8∫(0->π/2) (cosx)^4 dx
=2∫(0->π/2) (1+cos2x)^2 dx
=2∫(0->π/2) [1+2cos2x +(cos2x)^2 ] dx
=∫(0->π/2) [3+4cos2x +cos4x ] dx
= [ 3x +2sin2x +(1/4)sin4x] |(0->π/2)
=3π/2
=8∫(0->π/2) (cosx)^4 dx
=2∫(0->π/2) (1+cos2x)^2 dx
=2∫(0->π/2) [1+2cos2x +(cos2x)^2 ] dx
=∫(0->π/2) [3+4cos2x +cos4x ] dx
= [ 3x +2sin2x +(1/4)sin4x] |(0->π/2)
=3π/2
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