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$$ \int _{0}^{\frac{\pi }{2}}\int _{0}^{x}\sin(x)e^{\sin(y)}\mathrm{d}y\mathrm{d}x$$
I have tried to solve $\int _{ 0 }^{ \frac { \pi }{ 2 } } \int _{ 0 }^{ x }{ { e }^{ sin(y) } } { sin(x)dydx }$ . I have solved it by using mathematica to evaluate $\int { { e }^{ sin(x) }dx } $ but it is turning tedious so hoping to get some insight into solve it in a better way