Answer:
tan (x eˣ) + C
Step-by-step explanation:
∫ (eˣ + x eˣ) / (cos² (x eˣ)) dx
First, use u-substitution.
u = x eˣ
du = (eˣ + x eˣ) dx
∫ 1 / (cos² u) du
∫ sec² u du
tan u + C
Substitute back:
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