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F(x)=∫(0到x)t*g(x-t)dt
=∫(x到0)(x-u)g(u)d(x-u)
=x∫搭兄(0到x)g(u)du-∫(0到x)ug(u)du
0≤x≤π/2时
F(x)=x∫sinudu-∫闭历usinudu
=x(-cosu)+ucosu-sinu
=x(1-cosx)+xcosx-sinx
=x-sinx
x>轿枝搜π/2时
F(x)=x(∫(0到π/2)sinudu+0)-(∫(0到π/2)usinudu+0)
=x+(-1)
=x-1
=∫(x到0)(x-u)g(u)d(x-u)
=x∫搭兄(0到x)g(u)du-∫(0到x)ug(u)du
0≤x≤π/2时
F(x)=x∫sinudu-∫闭历usinudu
=x(-cosu)+ucosu-sinu
=x(1-cosx)+xcosx-sinx
=x-sinx
x>轿枝搜π/2时
F(x)=x(∫(0到π/2)sinudu+0)-(∫(0到π/2)usinudu+0)
=x+(-1)
=x-1
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