∫(-π/4,π/4) [x^5+(sinx)^4]/(cosx)^6 dx
=∫(-π/4,π/4) x^5/(cosx)^6 dx + ∫(-π/4,π/4) (sinx)^4/(cosx)^6 dx
=0+ 2∫(0,π/4) (sinx)^4/(cosx)^6 dx
=2∫(0,π/4) (tanx)^4*(secx)^2 dx
=2∫(0,π/4) (tanx)^4 d(tanx)
=2/5*(tanx)^5|(0，π/4)
=2/5
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