求定积分:[(e的sinx次方)乘以cosx]dx,上限是2分之pai,下限是0?

题目

求定积分:[(e的sinx次方)乘以cosx]dx,上限是2分之pai,下限是0?
$(acontent)

答案

∫[0,π/2] e^(sinx ) cosxdx= ∫[0,π/2] e^(sinx ) dsinx= e^(sinx ) | [0,π/2] =e-1