求定积分∫上限π/4,下限0 tan^2xdx,

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求定积分∫上限π/4,下限0tan^2xdx,求定积分∫上限π/4,下限0tan^2xdx,求定积分∫上限π/4,下限0tan^2xdx,原式=∫(0,π/4)(sec²x-1)dx=∫(0

求定积分∫上限π/4,下限0 tan^2xdx,
求定积分∫上限π/4,下限0 tan^2xdx,

求定积分∫上限π/4,下限0 tan^2xdx,
原式=∫(0,π/4)(sec²x-1)dx
=∫(0,π/4)sec²xdx-∫(0,π/4)dx
=∫(0,π/4)d(tanx)-∫(0,π/4)dx
=(tanx-x)|(0,π/4)
=1-π/4