（6）原式=∫(0,π) |sinx-cosx|dx =√2*∫(0,π) |sin(x-π/4)|dx =-√2*∫(0,π/4) sin(x-π/4)dx+√2*∫(π/4,π) sin(x-π/4)dx =√2*cos(x-π/4)|(0,π/4)-√2*cos(x-π/4)|(π/4,π) =√2-1-(-1-√2) =2√2 （8）原式=∫(-2,-1)x^4dx+∫(-1,1)dx+∫(1,3)x^4dx =(1/5)*x^5|(-2,-1)+x|(-1,1)+(1/5)*x^5|(1,3) =-1/5+32/5+1+1+243/5-1/5 =283/5 （10）原式=√2*∫(0,π/2) |sin(x-π/4)|dx 令t=x-π/4 原式=√2*∫(-π/4,π/4) |sint|dt =2√2*∫(0,π/4) sintdt =2√2*(-cost)|(0,π/4) =2√2*(-√2/2+1) =2√2-2
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