Evaluate the following integral:
[tex]\rm \: \displaystyle\int\sf \bigg(\dfrac{1 + sin(x)}{1 + cos (x)} \bigg){e}^{x} \: dx \\[/tex]
[tex]\rm \: \displaystyle\int\sf \bigg(\dfrac{1 + sin(x)}{1 + cos (x)} \bigg){e}^{x} \: dx \\[/tex]
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ANSWER:
Make use of the Power Reducing and Double Angle Identities to simplify the fraction in the integrand.
Please refer to the attached picture for the complete solution.