$\int e^{\sin x} \left( \frac{\sin x + 1}{\sec x} \right) dx$ is equal to
$\sin x \cdot e^{\sin x} + c$
$\cos x \cdot e^{\sin x} + c$
$e^{\sin x} + c$
$e^{\sin x} (\sin x + 1) + c$
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