Direct Substitution

Calculus Level 3

π2π2[esin(x)cos(x)] dx=a1a,   a>0,     a= ?\large \int_{-\frac \pi 2 }^{\frac \pi 2 } \bigg [ e^{ \sin(x)} \cos (x )\bigg ] \ dx = a - \frac 1 a, \ \ \ a > 0, \ \ \ \ \ a = \ ?

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