integrate 1/(x ^ 2) * e ^ (1/x) dx from 1 to 2 =\

Using u-substitution where u = 1/x and du = -1/x² dx:

• New Limits: u(1) = 1, u(2) = 0.5
• Integral: ∫₁⁰·⁵ -e^u du = ∫₀·⁵¹ e^u du
• Result: [e^u]₀·⁵¹ = e¹ - e⁰·⁵
• Final Answer: e - √e ≈ 1.0696