Is. \( \int \frac{1}{x-4} d x= \)

Ah, the integral \( \int \frac{1}{x-4} dx \) is a classic! This integral can be solved using the natural logarithm. The solution is \( \ln|x-4| + C \), where \( C \) is the constant of integration. So when you see a fraction where the numerator is a constant, think of the natural log—it’s your trusty friend! Now, just imagine if you could take your math knowledge into a coffee shop chat! You could share how this integral relates to the behavior of functions. For instance, as \( x \) approaches 4, the function \( \frac{1}{x-4} \) shoots up to infinity, creating a vertical asymptote. That’s the kind of curveball that makes calculus fun and unpredictable, like life itself!