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To solve this numerically, we begin by considering the problem and using the Fundamental Theorem of Calculus and Chain Rule. We are tasked with solving the derivative: \[ \frac{\mathrm{d}}{\mathrm{d} x}\left[ \int_{2}^{e^{x}} \ln(t) \, dt \right] = x - \ln(2) \] ### Step 1: Apply the Fundamental Theorem of Calculus and Chain Rule By the Fundamental __________ ____ __________ _________ _______ __________ ____ _________ _________ ________ ______.
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