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MYSTIFIEDBOYIN
Answered

Evaluate the following integral:

[tex]\rm \: \displaystyle\int\sf \bigg(\dfrac{1 + sin(x)}{1 + cos (x)} \bigg){e}^{x} \: dx \\[/tex]

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ENGRJOHANNIN

ANSWER:

[tex] \boxed{e^{x}\tan \dfrac{x}{2} + C} [/tex]

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.

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