1. Let's start by stating the problem: You want to learn how to divide integrals. 2. Remember that integrals themselves cannot be directly divided like regular numbers or expressions. However, division can occur inside an integral or between the results of integrals. 3. If you have an integral of a fraction, such as $$\int \frac{f(x)}{g(x)} \, dx,$$ you simply integrate the function $$\frac{f(x)}{g(x)}$$ over $$x$$ as usual. 4. If you want to divide two integrals, such as $$\frac{\int f(x) \, dx}{\int g(x) \, dx},$$ you first evaluate both integrals separately and then divide their results. 5. To divide inside an integral, you can write it as: $$\int \frac{f(x)}{g(x)} \, dx = \int f(x) \cdot \frac{1}{g(x)} \, dx$$ and then use integration techniques like substitution or partial fractions depending on the functions. 6. It is important not to split the integral as $$\frac{\int f(x) \, dx}{\int g(x) \, dx} \neq \int f(x) \, dx \div \int g(x) \, dx$$ without evaluating each integral separately. 7. In summary, division in integrals happens either inside the integral as a ratio of functions or after integration when dividing two integral values. This explanation should help you understand dividing integrals properly!